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Finding the Fourth Proportional to 3,403.92, 5,107.50 and 1,760.16

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Solution

The fourth proportional to 3,403.92, 5,107.50 and 1,760.16 is: 2,641.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,403.92 : 5,107.50 = 1,760.16 : x
  2. Step 2: Convert to fraction form
    3,403.92/5,107.50 = 1,760.16/x
  3. Step 3: Cross multiply
    3,403.92x = 5,107.50 × 1,760.16
  4. Step 4: Simplify right side
    3,403.92x = 8,990,017.20
  5. Step 5: Solve for x
    x = 8,990,017.20/3,403.92
  6. Step 6: Final answer
    x = 2,641.08

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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.