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Finding the Fourth Proportional to 3,102.46, 4,281.41 and 1,686.15

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Solution

The fourth proportional to 3,102.46, 4,281.41 and 1,686.15 is: 2,326.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.46 : 4,281.41 = 1,686.15 : x
  2. Step 2: Convert to fraction form
    3,102.46/4,281.41 = 1,686.15/x
  3. Step 3: Cross multiply
    3,102.46x = 4,281.41 × 1,686.15
  4. Step 4: Simplify right side
    3,102.46x = 7,219,099.47
  5. Step 5: Solve for x
    x = 7,219,099.47/3,102.46
  6. Step 6: Final answer
    x = 2,326.90

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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.