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Finding the Fourth Proportional to 2,461.85, 3,397.25 and 1,342.76

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Solution

The fourth proportional to 2,461.85, 3,397.25 and 1,342.76 is: 1,852.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.85 : 3,397.25 = 1,342.76 : x
  2. Step 2: Convert to fraction form
    2,461.85/3,397.25 = 1,342.76/x
  3. Step 3: Cross multiply
    2,461.85x = 3,397.25 × 1,342.76
  4. Step 4: Simplify right side
    2,461.85x = 4,561,691.41
  5. Step 5: Solve for x
    x = 4,561,691.41/2,461.85
  6. Step 6: Final answer
    x = 1,852.95

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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.