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Finding the Fourth Proportional to 2,267.60, 3,127.46 and 2,002.28

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Solution

The fourth proportional to 2,267.60, 3,127.46 and 2,002.28 is: 2,761.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.60 : 3,127.46 = 2,002.28 : x
  2. Step 2: Convert to fraction form
    2,267.60/3,127.46 = 2,002.28/x
  3. Step 3: Cross multiply
    2,267.60x = 3,127.46 × 2,002.28
  4. Step 4: Simplify right side
    2,267.60x = 6,262,050.61
  5. Step 5: Solve for x
    x = 6,262,050.61/2,267.60
  6. Step 6: Final answer
    x = 2,761.53

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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.