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Finding the Fourth Proportional to 2,966.57, 4,092.03 and 2,378.51

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Solution

The fourth proportional to 2,966.57, 4,092.03 and 2,378.51 is: 3,280.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.57 : 4,092.03 = 2,378.51 : x
  2. Step 2: Convert to fraction form
    2,966.57/4,092.03 = 2,378.51/x
  3. Step 3: Cross multiply
    2,966.57x = 4,092.03 × 2,378.51
  4. Step 4: Simplify right side
    2,966.57x = 9,732,934.28
  5. Step 5: Solve for x
    x = 9,732,934.28/2,966.57
  6. Step 6: Final answer
    x = 3,280.87

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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.