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Finding the Fourth Proportional to 3,102.17, 4,281 and 1,685.85

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Solution

The fourth proportional to 3,102.17, 4,281 and 1,685.85 is: 2,326.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.17 : 4,281 = 1,685.85 : x
  2. Step 2: Convert to fraction form
    3,102.17/4,281 = 1,685.85/x
  3. Step 3: Cross multiply
    3,102.17x = 4,281 × 1,685.85
  4. Step 4: Simplify right side
    3,102.17x = 7,217,102.45
  5. Step 5: Solve for x
    x = 7,217,102.45/3,102.17
  6. Step 6: Final answer
    x = 2,326.47

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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.