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Finding the Fourth Proportional to 2,502.96, 3,453.24 and 1,454.16

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Solution

The fourth proportional to 2,502.96, 3,453.24 and 1,454.16 is: 2,006.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.96 : 3,453.24 = 1,454.16 : x
  2. Step 2: Convert to fraction form
    2,502.96/3,453.24 = 1,454.16/x
  3. Step 3: Cross multiply
    2,502.96x = 3,453.24 × 1,454.16
  4. Step 4: Simplify right side
    2,502.96x = 5,021,563.48
  5. Step 5: Solve for x
    x = 5,021,563.48/2,502.96
  6. Step 6: Final answer
    x = 2,006.25

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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.