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Finding the Fourth Proportional to 1,747.42, 2,411.57 and 991.20

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Solution

The fourth proportional to 1,747.42, 2,411.57 and 991.20 is: 1,367.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747.42 : 2,411.57 = 991.20 : x
  2. Step 2: Convert to fraction form
    1,747.42/2,411.57 = 991.20/x
  3. Step 3: Cross multiply
    1,747.42x = 2,411.57 × 991.20
  4. Step 4: Simplify right side
    1,747.42x = 2,390,348.18
  5. Step 5: Solve for x
    x = 2,390,348.18/1,747.42
  6. Step 6: Final answer
    x = 1,367.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.