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Finding the Fourth Proportional to 3,126.66, 4,314.78 and 2,007.24

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Solution

The fourth proportional to 3,126.66, 4,314.78 and 2,007.24 is: 2,769.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,126.66 : 4,314.78 = 2,007.24 : x
  2. Step 2: Convert to fraction form
    3,126.66/4,314.78 = 2,007.24/x
  3. Step 3: Cross multiply
    3,126.66x = 4,314.78 × 2,007.24
  4. Step 4: Simplify right side
    3,126.66x = 8,660,799.01
  5. Step 5: Solve for x
    x = 8,660,799.01/3,126.66
  6. Step 6: Final answer
    x = 2,769.98

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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.