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Finding the Fourth Proportional to 3,454.07, 4,766.55 and 1,882.13

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Solution

The fourth proportional to 3,454.07, 4,766.55 and 1,882.13 is: 2,597.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.07 : 4,766.55 = 1,882.13 : x
  2. Step 2: Convert to fraction form
    3,454.07/4,766.55 = 1,882.13/x
  3. Step 3: Cross multiply
    3,454.07x = 4,766.55 × 1,882.13
  4. Step 4: Simplify right side
    3,454.07x = 8,971,266.75
  5. Step 5: Solve for x
    x = 8,971,266.75/3,454.07
  6. Step 6: Final answer
    x = 2,597.30

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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.