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Finding the Fourth Proportional to 2,865.80, 3,953.10 and 1,686.62

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Solution

The fourth proportional to 2,865.80, 3,953.10 and 1,686.62 is: 2,326.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.80 : 3,953.10 = 1,686.62 : x
  2. Step 2: Convert to fraction form
    2,865.80/3,953.10 = 1,686.62/x
  3. Step 3: Cross multiply
    2,865.80x = 3,953.10 × 1,686.62
  4. Step 4: Simplify right side
    2,865.80x = 6,667,377.52
  5. Step 5: Solve for x
    x = 6,667,377.52/2,865.80
  6. Step 6: Final answer
    x = 2,326.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.