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Finding the Fourth Proportional to 2,114.56, 3,154.51 and 2,054.98

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Solution

The fourth proportional to 2,114.56, 3,154.51 and 2,054.98 is: 3,065.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.56 : 3,154.51 = 2,054.98 : x
  2. Step 2: Convert to fraction form
    2,114.56/3,154.51 = 2,054.98/x
  3. Step 3: Cross multiply
    2,114.56x = 3,154.51 × 2,054.98
  4. Step 4: Simplify right side
    2,114.56x = 6,482,454.96
  5. Step 5: Solve for x
    x = 6,482,454.96/2,114.56
  6. Step 6: Final answer
    x = 3,065.63

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.