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Finding the Fourth Proportional to 3,102.31, 4,281.23 and 1,686.02

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Solution

The fourth proportional to 3,102.31, 4,281.23 and 1,686.02 is: 2,326.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.31 : 4,281.23 = 1,686.02 : x
  2. Step 2: Convert to fraction form
    3,102.31/4,281.23 = 1,686.02/x
  3. Step 3: Cross multiply
    3,102.31x = 4,281.23 × 1,686.02
  4. Step 4: Simplify right side
    3,102.31x = 7,218,253.35
  5. Step 5: Solve for x
    x = 7,218,253.35/3,102.31
  6. Step 6: Final answer
    x = 2,326.74

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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.