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Finding the Fourth Proportional to 2,058.60, 3,087.90 and 671.94

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Solution

The fourth proportional to 2,058.60, 3,087.90 and 671.94 is: 1,007.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.60 : 3,087.90 = 671.94 : x
  2. Step 2: Convert to fraction form
    2,058.60/3,087.90 = 671.94/x
  3. Step 3: Cross multiply
    2,058.60x = 3,087.90 × 671.94
  4. Step 4: Simplify right side
    2,058.60x = 2,074,883.53
  5. Step 5: Solve for x
    x = 2,074,883.53/2,058.60
  6. Step 6: Final answer
    x = 1,007.91

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Why These Related Problems?

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