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Finding the Fourth Proportional to 1,593.47, 2,389.80 and 1,073.18

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Solution

The fourth proportional to 1,593.47, 2,389.80 and 1,073.18 is: 1,609.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.47 : 2,389.80 = 1,073.18 : x
  2. Step 2: Convert to fraction form
    1,593.47/2,389.80 = 1,073.18/x
  3. Step 3: Cross multiply
    1,593.47x = 2,389.80 × 1,073.18
  4. Step 4: Simplify right side
    1,593.47x = 2,564,685.56
  5. Step 5: Solve for x
    x = 2,564,685.56/1,593.47
  6. Step 6: Final answer
    x = 1,609.50

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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.