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Finding the Fourth Proportional to 3,167.71, 4,370.57 and 2,048.70

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Solution

The fourth proportional to 3,167.71, 4,370.57 and 2,048.70 is: 2,826.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.71 : 4,370.57 = 2,048.70 : x
  2. Step 2: Convert to fraction form
    3,167.71/4,370.57 = 2,048.70/x
  3. Step 3: Cross multiply
    3,167.71x = 4,370.57 × 2,048.70
  4. Step 4: Simplify right side
    3,167.71x = 8,953,954.66
  5. Step 5: Solve for x
    x = 8,953,954.66/3,167.71
  6. Step 6: Final answer
    x = 2,826.63

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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.