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Finding the Fourth Proportional to 3,006.46, 4,509.32 and 1,251.68

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Solution

The fourth proportional to 3,006.46, 4,509.32 and 1,251.68 is: 1,877.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.46 : 4,509.32 = 1,251.68 : x
  2. Step 2: Convert to fraction form
    3,006.46/4,509.32 = 1,251.68/x
  3. Step 3: Cross multiply
    3,006.46x = 4,509.32 × 1,251.68
  4. Step 4: Simplify right side
    3,006.46x = 5,644,216.58
  5. Step 5: Solve for x
    x = 5,644,216.58/3,006.46
  6. Step 6: Final answer
    x = 1,877.36

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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.