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Finding the Fourth Proportional to 1,291.66, 1,937.49 and 1,225.92

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Solution

The fourth proportional to 1,291.66, 1,937.49 and 1,225.92 is: 1,838.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.66 : 1,937.49 = 1,225.92 : x
  2. Step 2: Convert to fraction form
    1,291.66/1,937.49 = 1,225.92/x
  3. Step 3: Cross multiply
    1,291.66x = 1,937.49 × 1,225.92
  4. Step 4: Simplify right side
    1,291.66x = 2,375,207.74
  5. Step 5: Solve for x
    x = 2,375,207.74/1,291.66
  6. Step 6: Final answer
    x = 1,838.88

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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.