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Finding the Fourth Proportional to 2,058.24, 3,088.39 and 826.55

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Solution

The fourth proportional to 2,058.24, 3,088.39 and 826.55 is: 1,240.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.24 : 3,088.39 = 826.55 : x
  2. Step 2: Convert to fraction form
    2,058.24/3,088.39 = 826.55/x
  3. Step 3: Cross multiply
    2,058.24x = 3,088.39 × 826.55
  4. Step 4: Simplify right side
    2,058.24x = 2,552,708.75
  5. Step 5: Solve for x
    x = 2,552,708.75/2,058.24
  6. Step 6: Final answer
    x = 1,240.24

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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.