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Finding the Fourth Proportional to 3,006.31, 4,510.05 and 925.95

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Solution

The fourth proportional to 3,006.31, 4,510.05 and 925.95 is: 1,389.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.31 : 4,510.05 = 925.95 : x
  2. Step 2: Convert to fraction form
    3,006.31/4,510.05 = 925.95/x
  3. Step 3: Cross multiply
    3,006.31x = 4,510.05 × 925.95
  4. Step 4: Simplify right side
    3,006.31x = 4,176,080.80
  5. Step 5: Solve for x
    x = 4,176,080.80/3,006.31
  6. Step 6: Final answer
    x = 1,389.11

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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.