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Finding the Fourth Proportional to 2,865.71, 4,296.47 and 916.79

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Solution

The fourth proportional to 2,865.71, 4,296.47 and 916.79 is: 1,374.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.71 : 4,296.47 = 916.79 : x
  2. Step 2: Convert to fraction form
    2,865.71/4,296.47 = 916.79/x
  3. Step 3: Cross multiply
    2,865.71x = 4,296.47 × 916.79
  4. Step 4: Simplify right side
    2,865.71x = 3,938,956.15
  5. Step 5: Solve for x
    x = 3,938,956.15/2,865.71
  6. Step 6: Final answer
    x = 1,374.51

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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.