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Finding the Fourth Proportional to 2,533.44, 3,494.70 and 2,256.96

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Solution

The fourth proportional to 2,533.44, 3,494.70 and 2,256.96 is: 3,113.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.44 : 3,494.70 = 2,256.96 : x
  2. Step 2: Convert to fraction form
    2,533.44/3,494.70 = 2,256.96/x
  3. Step 3: Cross multiply
    2,533.44x = 3,494.70 × 2,256.96
  4. Step 4: Simplify right side
    2,533.44x = 7,887,398.11
  5. Step 5: Solve for x
    x = 7,887,398.11/2,533.44
  6. Step 6: Final answer
    x = 3,113.32

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.