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Finding the Fourth Proportional to 1,982.98, 2,972.71 and 749.53

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Solution

The fourth proportional to 1,982.98, 2,972.71 and 749.53 is: 1,123.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.98 : 2,972.71 = 749.53 : x
  2. Step 2: Convert to fraction form
    1,982.98/2,972.71 = 749.53/x
  3. Step 3: Cross multiply
    1,982.98x = 2,972.71 × 749.53
  4. Step 4: Simplify right side
    1,982.98x = 2,228,126.02
  5. Step 5: Solve for x
    x = 2,228,126.02/1,982.98
  6. Step 6: Final answer
    x = 1,123.63

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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.