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Finding the Fourth Proportional to 2,916.43, 4,372.18 and 1,160.32

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Solution

The fourth proportional to 2,916.43, 4,372.18 and 1,160.32 is: 1,739.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,916.43 : 4,372.18 = 1,160.32 : x
  2. Step 2: Convert to fraction form
    2,916.43/4,372.18 = 1,160.32/x
  3. Step 3: Cross multiply
    2,916.43x = 4,372.18 × 1,160.32
  4. Step 4: Simplify right side
    2,916.43x = 5,073,127.90
  5. Step 5: Solve for x
    x = 5,073,127.90/2,916.43
  6. Step 6: Final answer
    x = 1,739.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.