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Finding the Fourth Proportional to 2,652.71, 3,977.17 and 1,007.87

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Solution

The fourth proportional to 2,652.71, 3,977.17 and 1,007.87 is: 1,511.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.71 : 3,977.17 = 1,007.87 : x
  2. Step 2: Convert to fraction form
    2,652.71/3,977.17 = 1,007.87/x
  3. Step 3: Cross multiply
    2,652.71x = 3,977.17 × 1,007.87
  4. Step 4: Simplify right side
    2,652.71x = 4,008,447.92
  5. Step 5: Solve for x
    x = 4,008,447.92/2,652.71
  6. Step 6: Final answer
    x = 1,511.08

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Why These Related Problems?

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