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Finding the Fourth Proportional to 1,592.33, 2,387.27 and 617.90

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Solution

The fourth proportional to 1,592.33, 2,387.27 and 617.90 is: 926.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592.33 : 2,387.27 = 617.90 : x
  2. Step 2: Convert to fraction form
    1,592.33/2,387.27 = 617.90/x
  3. Step 3: Cross multiply
    1,592.33x = 2,387.27 × 617.90
  4. Step 4: Simplify right side
    1,592.33x = 1,475,083.74
  5. Step 5: Solve for x
    x = 1,475,083.74/1,592.33
  6. Step 6: Final answer
    x = 926.37

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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.