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Finding the Fourth Proportional to 3,454.05, 4,766.59 and 1,882.15

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Solution

The fourth proportional to 3,454.05, 4,766.59 and 1,882.15 is: 2,597.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.05 : 4,766.59 = 1,882.15 : x
  2. Step 2: Convert to fraction form
    3,454.05/4,766.59 = 1,882.15/x
  3. Step 3: Cross multiply
    3,454.05x = 4,766.59 × 1,882.15
  4. Step 4: Simplify right side
    3,454.05x = 8,971,437.37
  5. Step 5: Solve for x
    x = 8,971,437.37/3,454.05
  6. Step 6: Final answer
    x = 2,597.37

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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.