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Finding the Fourth Proportional to 2,559.39, 3,839.13 and 916.35

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Solution

The fourth proportional to 2,559.39, 3,839.13 and 916.35 is: 1,374.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,559.39 : 3,839.13 = 916.35 : x
  2. Step 2: Convert to fraction form
    2,559.39/3,839.13 = 916.35/x
  3. Step 3: Cross multiply
    2,559.39x = 3,839.13 × 916.35
  4. Step 4: Simplify right side
    2,559.39x = 3,517,986.78
  5. Step 5: Solve for x
    x = 3,517,986.78/2,559.39
  6. Step 6: Final answer
    x = 1,374.54

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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.