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Finding the Fourth Proportional to 2,246.47, 3,371.07 and 947.94

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Solution

The fourth proportional to 2,246.47, 3,371.07 and 947.94 is: 1,422.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,246.47 : 3,371.07 = 947.94 : x
  2. Step 2: Convert to fraction form
    2,246.47/3,371.07 = 947.94/x
  3. Step 3: Cross multiply
    2,246.47x = 3,371.07 × 947.94
  4. Step 4: Simplify right side
    2,246.47x = 3,195,572.10
  5. Step 5: Solve for x
    x = 3,195,572.10/2,246.47
  6. Step 6: Final answer
    x = 1,422.49

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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.