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Finding the Fourth Proportional to 3,068.71, 4,234.86 and 1,671.46

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Solution

The fourth proportional to 3,068.71, 4,234.86 and 1,671.46 is: 2,306.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,068.71 : 4,234.86 = 1,671.46 : x
  2. Step 2: Convert to fraction form
    3,068.71/4,234.86 = 1,671.46/x
  3. Step 3: Cross multiply
    3,068.71x = 4,234.86 × 1,671.46
  4. Step 4: Simplify right side
    3,068.71x = 7,078,394.78
  5. Step 5: Solve for x
    x = 7,078,394.78/3,068.71
  6. Step 6: Final answer
    x = 2,306.64

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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.