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Finding the Fourth Proportional to 2,113.56, 3,153.02 and 2,053.98

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Solution

The fourth proportional to 2,113.56, 3,153.02 and 2,053.98 is: 3,064.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.56 : 3,153.02 = 2,053.98 : x
  2. Step 2: Convert to fraction form
    2,113.56/3,153.02 = 2,053.98/x
  3. Step 3: Cross multiply
    2,113.56x = 3,153.02 × 2,053.98
  4. Step 4: Simplify right side
    2,113.56x = 6,476,229.75
  5. Step 5: Solve for x
    x = 6,476,229.75/2,113.56
  6. Step 6: Final answer
    x = 3,064.13

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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.