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Finding the Fourth Proportional to 1,966.74, 2,713.61 and 1,248.66

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Solution

The fourth proportional to 1,966.74, 2,713.61 and 1,248.66 is: 1,722.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.74 : 2,713.61 = 1,248.66 : x
  2. Step 2: Convert to fraction form
    1,966.74/2,713.61 = 1,248.66/x
  3. Step 3: Cross multiply
    1,966.74x = 2,713.61 × 1,248.66
  4. Step 4: Simplify right side
    1,966.74x = 3,388,379.38
  5. Step 5: Solve for x
    x = 3,388,379.38/1,966.74
  6. Step 6: Final answer
    x = 1,722.84

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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.