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Finding the Fourth Proportional to 3,374.70, 4,656.53 and 1,882.58

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Solution

The fourth proportional to 3,374.70, 4,656.53 and 1,882.58 is: 2,597.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,374.70 : 4,656.53 = 1,882.58 : x
  2. Step 2: Convert to fraction form
    3,374.70/4,656.53 = 1,882.58/x
  3. Step 3: Cross multiply
    3,374.70x = 4,656.53 × 1,882.58
  4. Step 4: Simplify right side
    3,374.70x = 8,766,257.55
  5. Step 5: Solve for x
    x = 8,766,257.55/3,374.70
  6. Step 6: Final answer
    x = 2,597.64

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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.