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Finding the Fourth Proportional to 2,613.52, 3,916.72 and 1,441.76

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Solution

The fourth proportional to 2,613.52, 3,916.72 and 1,441.76 is: 2,160.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613.52 : 3,916.72 = 1,441.76 : x
  2. Step 2: Convert to fraction form
    2,613.52/3,916.72 = 1,441.76/x
  3. Step 3: Cross multiply
    2,613.52x = 3,916.72 × 1,441.76
  4. Step 4: Simplify right side
    2,613.52x = 5,646,970.23
  5. Step 5: Solve for x
    x = 5,646,970.23/2,613.52
  6. Step 6: Final answer
    x = 2,160.68

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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.