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Finding the Fourth Proportional to 1,592.26, 2,385.76 and 617.83

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Solution

The fourth proportional to 1,592.26, 2,385.76 and 617.83 is: 925.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592.26 : 2,385.76 = 617.83 : x
  2. Step 2: Convert to fraction form
    1,592.26/2,385.76 = 617.83/x
  3. Step 3: Cross multiply
    1,592.26x = 2,385.76 × 617.83
  4. Step 4: Simplify right side
    1,592.26x = 1,473,991.01
  5. Step 5: Solve for x
    x = 1,473,991.01/1,592.26
  6. Step 6: Final answer
    x = 925.72

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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.