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Finding the Fourth Proportional to 3,006.92, 4,510.76 and 1,032.95

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Solution

The fourth proportional to 3,006.92, 4,510.76 and 1,032.95 is: 1,549.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.92 : 4,510.76 = 1,032.95 : x
  2. Step 2: Convert to fraction form
    3,006.92/4,510.76 = 1,032.95/x
  3. Step 3: Cross multiply
    3,006.92x = 4,510.76 × 1,032.95
  4. Step 4: Simplify right side
    3,006.92x = 4,659,395.65
  5. Step 5: Solve for x
    x = 4,659,395.65/3,006.92
  6. Step 6: Final answer
    x = 1,549.56

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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.