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Finding the Fourth Proportional to 3,427.60, 5,138.52 and 1,780.60

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Solution

The fourth proportional to 3,427.60, 5,138.52 and 1,780.60 is: 2,669.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427.60 : 5,138.52 = 1,780.60 : x
  2. Step 2: Convert to fraction form
    3,427.60/5,138.52 = 1,780.60/x
  3. Step 3: Cross multiply
    3,427.60x = 5,138.52 × 1,780.60
  4. Step 4: Simplify right side
    3,427.60x = 9,149,648.71
  5. Step 5: Solve for x
    x = 9,149,648.71/3,427.60
  6. Step 6: Final answer
    x = 2,669.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.