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Finding the Fourth Proportional to 3,165.34, 4,370.46 and 2,046.91

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Solution

The fourth proportional to 3,165.34, 4,370.46 and 2,046.91 is: 2,826.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.34 : 4,370.46 = 2,046.91 : x
  2. Step 2: Convert to fraction form
    3,165.34/4,370.46 = 2,046.91/x
  3. Step 3: Cross multiply
    3,165.34x = 4,370.46 × 2,046.91
  4. Step 4: Simplify right side
    3,165.34x = 8,945,938.28
  5. Step 5: Solve for x
    x = 8,945,938.28/3,165.34
  6. Step 6: Final answer
    x = 2,826.22

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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.