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Finding the Fourth Proportional to 2,650.96, 3,957.08 and 2,458.24

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Solution

The fourth proportional to 2,650.96, 3,957.08 and 2,458.24 is: 3,669.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.96 : 3,957.08 = 2,458.24 : x
  2. Step 2: Convert to fraction form
    2,650.96/3,957.08 = 2,458.24/x
  3. Step 3: Cross multiply
    2,650.96x = 3,957.08 × 2,458.24
  4. Step 4: Simplify right side
    2,650.96x = 9,727,452.34
  5. Step 5: Solve for x
    x = 9,727,452.34/2,650.96
  6. Step 6: Final answer
    x = 3,669.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.