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Finding the Fourth Proportional to 1,292.08, 1,937.22 and 425.92

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Solution

The fourth proportional to 1,292.08, 1,937.22 and 425.92 is: 638.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.08 : 1,937.22 = 425.92 : x
  2. Step 2: Convert to fraction form
    1,292.08/1,937.22 = 425.92/x
  3. Step 3: Cross multiply
    1,292.08x = 1,937.22 × 425.92
  4. Step 4: Simplify right side
    1,292.08x = 825,100.74
  5. Step 5: Solve for x
    x = 825,100.74/1,292.08
  6. Step 6: Final answer
    x = 638.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.