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Finding the Fourth Proportional to 2,058.89, 3,087.65 and 671.85

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Solution

The fourth proportional to 2,058.89, 3,087.65 and 671.85 is: 1,007.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.89 : 3,087.65 = 671.85 : x
  2. Step 2: Convert to fraction form
    2,058.89/3,087.65 = 671.85/x
  3. Step 3: Cross multiply
    2,058.89x = 3,087.65 × 671.85
  4. Step 4: Simplify right side
    2,058.89x = 2,074,434.29
  5. Step 5: Solve for x
    x = 2,074,434.29/2,058.89
  6. Step 6: Final answer
    x = 1,007.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.