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Finding the Fourth Proportional to 2,456.46, 3,681.60 and 994.80

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Solution

The fourth proportional to 2,456.46, 3,681.60 and 994.80 is: 1,490.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.46 : 3,681.60 = 994.80 : x
  2. Step 2: Convert to fraction form
    2,456.46/3,681.60 = 994.80/x
  3. Step 3: Cross multiply
    2,456.46x = 3,681.60 × 994.80
  4. Step 4: Simplify right side
    2,456.46x = 3,662,455.68
  5. Step 5: Solve for x
    x = 3,662,455.68/2,456.46
  6. Step 6: Final answer
    x = 1,490.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.