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Finding the Fourth Proportional to 1,605.74, 2,407.14 and 617.92

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Solution

The fourth proportional to 1,605.74, 2,407.14 and 617.92 is: 926.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.74 : 2,407.14 = 617.92 : x
  2. Step 2: Convert to fraction form
    1,605.74/2,407.14 = 617.92/x
  3. Step 3: Cross multiply
    1,605.74x = 2,407.14 × 617.92
  4. Step 4: Simplify right side
    1,605.74x = 1,487,422.27
  5. Step 5: Solve for x
    x = 1,487,422.27/1,605.74
  6. Step 6: Final answer
    x = 926.32

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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.