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Finding the Fourth Proportional to 2,049.65, 3,073.95 and 952.94

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Solution

The fourth proportional to 2,049.65, 3,073.95 and 952.94 is: 1,429.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.65 : 3,073.95 = 952.94 : x
  2. Step 2: Convert to fraction form
    2,049.65/3,073.95 = 952.94/x
  3. Step 3: Cross multiply
    2,049.65x = 3,073.95 × 952.94
  4. Step 4: Simplify right side
    2,049.65x = 2,929,289.91
  5. Step 5: Solve for x
    x = 2,929,289.91/2,049.65
  6. Step 6: Final answer
    x = 1,429.17

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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.