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Finding the Fourth Proportional to 3,454.55, 4,767.31 and 1,882.64

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Solution

The fourth proportional to 3,454.55, 4,767.31 and 1,882.64 is: 2,598.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.55 : 4,767.31 = 1,882.64 : x
  2. Step 2: Convert to fraction form
    3,454.55/4,767.31 = 1,882.64/x
  3. Step 3: Cross multiply
    3,454.55x = 4,767.31 × 1,882.64
  4. Step 4: Simplify right side
    3,454.55x = 8,975,132.18
  5. Step 5: Solve for x
    x = 8,975,132.18/3,454.55
  6. Step 6: Final answer
    x = 2,598.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.