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Finding the Fourth Proportional to 2,178.60, 3,265.17 and 2,003.64

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Solution

The fourth proportional to 2,178.60, 3,265.17 and 2,003.64 is: 3,002.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.60 : 3,265.17 = 2,003.64 : x
  2. Step 2: Convert to fraction form
    2,178.60/3,265.17 = 2,003.64/x
  3. Step 3: Cross multiply
    2,178.60x = 3,265.17 × 2,003.64
  4. Step 4: Simplify right side
    2,178.60x = 6,542,225.22
  5. Step 5: Solve for x
    x = 6,542,225.22/2,178.60
  6. Step 6: Final answer
    x = 3,002.95

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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.