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Finding the Fourth Proportional to 2,467.89, 3,701.84 and 1,006.79

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Solution

The fourth proportional to 2,467.89, 3,701.84 and 1,006.79 is: 1,510.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.89 : 3,701.84 = 1,006.79 : x
  2. Step 2: Convert to fraction form
    2,467.89/3,701.84 = 1,006.79/x
  3. Step 3: Cross multiply
    2,467.89x = 3,701.84 × 1,006.79
  4. Step 4: Simplify right side
    2,467.89x = 3,726,975.49
  5. Step 5: Solve for x
    x = 3,726,975.49/2,467.89
  6. Step 6: Final answer
    x = 1,510.19

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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.