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Finding the Fourth Proportional to 2,454.29, 3,681.42 and 994.46

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Solution

The fourth proportional to 2,454.29, 3,681.42 and 994.46 is: 1,491.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.29 : 3,681.42 = 994.46 : x
  2. Step 2: Convert to fraction form
    2,454.29/3,681.42 = 994.46/x
  3. Step 3: Cross multiply
    2,454.29x = 3,681.42 × 994.46
  4. Step 4: Simplify right side
    2,454.29x = 3,661,006.53
  5. Step 5: Solve for x
    x = 3,661,006.53/2,454.29
  6. Step 6: Final answer
    x = 1,491.68

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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.