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Finding the Fourth Proportional to 2,559.91, 3,839.10 and 916.09

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Solution

The fourth proportional to 2,559.91, 3,839.10 and 916.09 is: 1,373.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,559.91 : 3,839.10 = 916.09 : x
  2. Step 2: Convert to fraction form
    2,559.91/3,839.10 = 916.09/x
  3. Step 3: Cross multiply
    2,559.91x = 3,839.10 × 916.09
  4. Step 4: Simplify right side
    2,559.91x = 3,516,961.12
  5. Step 5: Solve for x
    x = 3,516,961.12/2,559.91
  6. Step 6: Final answer
    x = 1,373.86

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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.