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Finding the Fourth Proportional to 1,966.89, 2,711.16 and 1,493.25

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Solution

The fourth proportional to 1,966.89, 2,711.16 and 1,493.25 is: 2,058.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.89 : 2,711.16 = 1,493.25 : x
  2. Step 2: Convert to fraction form
    1,966.89/2,711.16 = 1,493.25/x
  3. Step 3: Cross multiply
    1,966.89x = 2,711.16 × 1,493.25
  4. Step 4: Simplify right side
    1,966.89x = 4,048,439.67
  5. Step 5: Solve for x
    x = 4,048,439.67/1,966.89
  6. Step 6: Final answer
    x = 2,058.29

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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.