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Finding the Fourth Proportional to 2,461.88, 3,397.43 and 1,342.82

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Solution

The fourth proportional to 2,461.88, 3,397.43 and 1,342.82 is: 1,853.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.88 : 3,397.43 = 1,342.82 : x
  2. Step 2: Convert to fraction form
    2,461.88/3,397.43 = 1,342.82/x
  3. Step 3: Cross multiply
    2,461.88x = 3,397.43 × 1,342.82
  4. Step 4: Simplify right side
    2,461.88x = 4,562,113.25
  5. Step 5: Solve for x
    x = 4,562,113.25/2,461.88
  6. Step 6: Final answer
    x = 1,853.10

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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.