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Finding the Fourth Proportional to 2,147.87, 3,222.51 and 916.31

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Solution

The fourth proportional to 2,147.87, 3,222.51 and 916.31 is: 1,374.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.87 : 3,222.51 = 916.31 : x
  2. Step 2: Convert to fraction form
    2,147.87/3,222.51 = 916.31/x
  3. Step 3: Cross multiply
    2,147.87x = 3,222.51 × 916.31
  4. Step 4: Simplify right side
    2,147.87x = 2,952,802.03
  5. Step 5: Solve for x
    x = 2,952,802.03/2,147.87
  6. Step 6: Final answer
    x = 1,374.76

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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.