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Finding the Fourth Proportional to 1,669.09, 2,502.05 and 744.13

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Solution

The fourth proportional to 1,669.09, 2,502.05 and 744.13 is: 1,115.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,669.09 : 2,502.05 = 744.13 : x
  2. Step 2: Convert to fraction form
    1,669.09/2,502.05 = 744.13/x
  3. Step 3: Cross multiply
    1,669.09x = 2,502.05 × 744.13
  4. Step 4: Simplify right side
    1,669.09x = 1,861,853.00
  5. Step 5: Solve for x
    x = 1,861,853.00/1,669.09
  6. Step 6: Final answer
    x = 1,115.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.