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Finding the Fourth Proportional to 2,807.52, 3,870 and 2,250.24

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Solution

The fourth proportional to 2,807.52, 3,870 and 2,250.24 is: 3,101.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.52 : 3,870 = 2,250.24 : x
  2. Step 2: Convert to fraction form
    2,807.52/3,870 = 2,250.24/x
  3. Step 3: Cross multiply
    2,807.52x = 3,870 × 2,250.24
  4. Step 4: Simplify right side
    2,807.52x = 8,708,428.80
  5. Step 5: Solve for x
    x = 8,708,428.80/2,807.52
  6. Step 6: Final answer
    x = 3,101.82

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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.