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Finding the Fourth Proportional to 1,494.13, 2,241.20 and 844.71

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Solution

The fourth proportional to 1,494.13, 2,241.20 and 844.71 is: 1,267.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494.13 : 2,241.20 = 844.71 : x
  2. Step 2: Convert to fraction form
    1,494.13/2,241.20 = 844.71/x
  3. Step 3: Cross multiply
    1,494.13x = 2,241.20 × 844.71
  4. Step 4: Simplify right side
    1,494.13x = 1,893,166.16
  5. Step 5: Solve for x
    x = 1,893,166.16/1,494.13
  6. Step 6: Final answer
    x = 1,267.07

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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.