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Finding the Fourth Proportional to 1,456.44, 2,184.27 and 994.14

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Solution

The fourth proportional to 1,456.44, 2,184.27 and 994.14 is: 1,490.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.44 : 2,184.27 = 994.14 : x
  2. Step 2: Convert to fraction form
    1,456.44/2,184.27 = 994.14/x
  3. Step 3: Cross multiply
    1,456.44x = 2,184.27 × 994.14
  4. Step 4: Simplify right side
    1,456.44x = 2,171,470.18
  5. Step 5: Solve for x
    x = 2,171,470.18/1,456.44
  6. Step 6: Final answer
    x = 1,490.94

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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.