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Finding the Fourth Proportional to 3,087.82, 4,261.16 and 1,671.47

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Solution

The fourth proportional to 3,087.82, 4,261.16 and 1,671.47 is: 2,306.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,087.82 : 4,261.16 = 1,671.47 : x
  2. Step 2: Convert to fraction form
    3,087.82/4,261.16 = 1,671.47/x
  3. Step 3: Cross multiply
    3,087.82x = 4,261.16 × 1,671.47
  4. Step 4: Simplify right side
    3,087.82x = 7,122,401.11
  5. Step 5: Solve for x
    x = 7,122,401.11/3,087.82
  6. Step 6: Final answer
    x = 2,306.61

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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.