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Finding the Fourth Proportional to 2,462.44, 3,398.92 and 1,676.95

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Solution

The fourth proportional to 2,462.44, 3,398.92 and 1,676.95 is: 2,314.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.44 : 3,398.92 = 1,676.95 : x
  2. Step 2: Convert to fraction form
    2,462.44/3,398.92 = 1,676.95/x
  3. Step 3: Cross multiply
    2,462.44x = 3,398.92 × 1,676.95
  4. Step 4: Simplify right side
    2,462.44x = 5,699,818.89
  5. Step 5: Solve for x
    x = 5,699,818.89/2,462.44
  6. Step 6: Final answer
    x = 2,314.70

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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.