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Finding the Fourth Proportional to 1,493.16, 2,061.41 and 997.44

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Solution

The fourth proportional to 1,493.16, 2,061.41 and 997.44 is: 1,377.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493.16 : 2,061.41 = 997.44 : x
  2. Step 2: Convert to fraction form
    1,493.16/2,061.41 = 997.44/x
  3. Step 3: Cross multiply
    1,493.16x = 2,061.41 × 997.44
  4. Step 4: Simplify right side
    1,493.16x = 2,056,132.79
  5. Step 5: Solve for x
    x = 2,056,132.79/1,493.16
  6. Step 6: Final answer
    x = 1,377.03

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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.