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Finding the Fourth Proportional to 2,292.71, 3,439.06 and 994.17

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Solution

The fourth proportional to 2,292.71, 3,439.06 and 994.17 is: 1,491.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.71 : 3,439.06 = 994.17 : x
  2. Step 2: Convert to fraction form
    2,292.71/3,439.06 = 994.17/x
  3. Step 3: Cross multiply
    2,292.71x = 3,439.06 × 994.17
  4. Step 4: Simplify right side
    2,292.71x = 3,419,020.69
  5. Step 5: Solve for x
    x = 3,419,020.69/2,292.71
  6. Step 6: Final answer
    x = 1,491.26

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Double scale
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1.5x scale

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.