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Finding the Fourth Proportional to 2,058.64, 3,087.36 and 671.92

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Solution

The fourth proportional to 2,058.64, 3,087.36 and 671.92 is: 1,007.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.64 : 3,087.36 = 671.92 : x
  2. Step 2: Convert to fraction form
    2,058.64/3,087.36 = 671.92/x
  3. Step 3: Cross multiply
    2,058.64x = 3,087.36 × 671.92
  4. Step 4: Simplify right side
    2,058.64x = 2,074,458.93
  5. Step 5: Solve for x
    x = 2,074,458.93/2,058.64
  6. Step 6: Final answer
    x = 1,007.68

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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.