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Finding the Fourth Proportional to 2,671.60, 3,682.20 and 2,452.72

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Solution

The fourth proportional to 2,671.60, 3,682.20 and 2,452.72 is: 3,380.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.60 : 3,682.20 = 2,452.72 : x
  2. Step 2: Convert to fraction form
    2,671.60/3,682.20 = 2,452.72/x
  3. Step 3: Cross multiply
    2,671.60x = 3,682.20 × 2,452.72
  4. Step 4: Simplify right side
    2,671.60x = 9,031,405.58
  5. Step 5: Solve for x
    x = 9,031,405.58/2,671.60
  6. Step 6: Final answer
    x = 3,380.52

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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.