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Finding the Fourth Proportional to 1,336.61, 1,842.26 and 916.22

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Solution

The fourth proportional to 1,336.61, 1,842.26 and 916.22 is: 1,262.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,336.61 : 1,842.26 = 916.22 : x
  2. Step 2: Convert to fraction form
    1,336.61/1,842.26 = 916.22/x
  3. Step 3: Cross multiply
    1,336.61x = 1,842.26 × 916.22
  4. Step 4: Simplify right side
    1,336.61x = 1,687,901.66
  5. Step 5: Solve for x
    x = 1,687,901.66/1,336.61
  6. Step 6: Final answer
    x = 1,262.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.