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Finding the Fourth Proportional to 1,266.29, 1,909.18 and 1,243.61

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Solution

The fourth proportional to 1,266.29, 1,909.18 and 1,243.61 is: 1,874.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.29 : 1,909.18 = 1,243.61 : x
  2. Step 2: Convert to fraction form
    1,266.29/1,909.18 = 1,243.61/x
  3. Step 3: Cross multiply
    1,266.29x = 1,909.18 × 1,243.61
  4. Step 4: Simplify right side
    1,266.29x = 2,374,275.34
  5. Step 5: Solve for x
    x = 2,374,275.34/1,266.29
  6. Step 6: Final answer
    x = 1,874.99

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.