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Finding the Fourth Proportional to 2,734.61, 4,103.55 and 1,641.11

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Solution

The fourth proportional to 2,734.61, 4,103.55 and 1,641.11 is: 2,462.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.61 : 4,103.55 = 1,641.11 : x
  2. Step 2: Convert to fraction form
    2,734.61/4,103.55 = 1,641.11/x
  3. Step 3: Cross multiply
    2,734.61x = 4,103.55 × 1,641.11
  4. Step 4: Simplify right side
    2,734.61x = 6,734,356.42
  5. Step 5: Solve for x
    x = 6,734,356.42/2,734.61
  6. Step 6: Final answer
    x = 2,462.64

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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.