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Finding the Fourth Proportional to 1,593.43, 2,390.21 and 760.06

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Solution

The fourth proportional to 1,593.43, 2,390.21 and 760.06 is: 1,140.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.43 : 2,390.21 = 760.06 : x
  2. Step 2: Convert to fraction form
    1,593.43/2,390.21 = 760.06/x
  3. Step 3: Cross multiply
    1,593.43x = 2,390.21 × 760.06
  4. Step 4: Simplify right side
    1,593.43x = 1,816,699.21
  5. Step 5: Solve for x
    x = 1,816,699.21/1,593.43
  6. Step 6: Final answer
    x = 1,140.12

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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.