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Finding the Fourth Proportional to 2,058.22, 3,088.26 and 872.58

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Solution

The fourth proportional to 2,058.22, 3,088.26 and 872.58 is: 1,309.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.22 : 3,088.26 = 872.58 : x
  2. Step 2: Convert to fraction form
    2,058.22/3,088.26 = 872.58/x
  3. Step 3: Cross multiply
    2,058.22x = 3,088.26 × 872.58
  4. Step 4: Simplify right side
    2,058.22x = 2,694,749.55
  5. Step 5: Solve for x
    x = 2,694,749.55/2,058.22
  6. Step 6: Final answer
    x = 1,309.27

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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.