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Finding the Fourth Proportional to 1,966.38, 2,710.98 and 1,685.43

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Solution

The fourth proportional to 1,966.38, 2,710.98 and 1,685.43 is: 2,323.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.38 : 2,710.98 = 1,685.43 : x
  2. Step 2: Convert to fraction form
    1,966.38/2,710.98 = 1,685.43/x
  3. Step 3: Cross multiply
    1,966.38x = 2,710.98 × 1,685.43
  4. Step 4: Simplify right side
    1,966.38x = 4,569,167.02
  5. Step 5: Solve for x
    x = 4,569,167.02/1,966.38
  6. Step 6: Final answer
    x = 2,323.64

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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.