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Finding the Fourth Proportional to 1,593.62, 2,389.75 and 715.94

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Solution

The fourth proportional to 1,593.62, 2,389.75 and 715.94 is: 1,073.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.62 : 2,389.75 = 715.94 : x
  2. Step 2: Convert to fraction form
    1,593.62/2,389.75 = 715.94/x
  3. Step 3: Cross multiply
    1,593.62x = 2,389.75 × 715.94
  4. Step 4: Simplify right side
    1,593.62x = 1,710,916.87
  5. Step 5: Solve for x
    x = 1,710,916.87/1,593.62
  6. Step 6: Final answer
    x = 1,073.60

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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.