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Finding the Fourth Proportional to 1,484.97, 2,228.21 and 991.71

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Solution

The fourth proportional to 1,484.97, 2,228.21 and 991.71 is: 1,488.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484.97 : 2,228.21 = 991.71 : x
  2. Step 2: Convert to fraction form
    1,484.97/2,228.21 = 991.71/x
  3. Step 3: Cross multiply
    1,484.97x = 2,228.21 × 991.71
  4. Step 4: Simplify right side
    1,484.97x = 2,209,747.35
  5. Step 5: Solve for x
    x = 2,209,747.35/1,484.97
  6. Step 6: Final answer
    x = 1,488.08

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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.