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Finding the Fourth Proportional to 3,374.46, 4,656.89 and 1,882.49

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Solution

The fourth proportional to 3,374.46, 4,656.89 and 1,882.49 is: 2,597.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,374.46 : 4,656.89 = 1,882.49 : x
  2. Step 2: Convert to fraction form
    3,374.46/4,656.89 = 1,882.49/x
  3. Step 3: Cross multiply
    3,374.46x = 4,656.89 × 1,882.49
  4. Step 4: Simplify right side
    3,374.46x = 8,766,556.47
  5. Step 5: Solve for x
    x = 8,766,556.47/3,374.46
  6. Step 6: Final answer
    x = 2,597.91

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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.