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Finding the Fourth Proportional to 2,929.57, 4,393.29 and 849.01

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Solution

The fourth proportional to 2,929.57, 4,393.29 and 849.01 is: 1,273.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,929.57 : 4,393.29 = 849.01 : x
  2. Step 2: Convert to fraction form
    2,929.57/4,393.29 = 849.01/x
  3. Step 3: Cross multiply
    2,929.57x = 4,393.29 × 849.01
  4. Step 4: Simplify right side
    2,929.57x = 3,729,947.14
  5. Step 5: Solve for x
    x = 3,729,947.14/2,929.57
  6. Step 6: Final answer
    x = 1,273.21

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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.