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Finding the Fourth Proportional to 2,058.09, 3,087.69 and 961.89

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Solution

The fourth proportional to 2,058.09, 3,087.69 and 961.89 is: 1,443.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.09 : 3,087.69 = 961.89 : x
  2. Step 2: Convert to fraction form
    2,058.09/3,087.69 = 961.89/x
  3. Step 3: Cross multiply
    2,058.09x = 3,087.69 × 961.89
  4. Step 4: Simplify right side
    2,058.09x = 2,970,018.13
  5. Step 5: Solve for x
    x = 2,970,018.13/2,058.09
  6. Step 6: Final answer
    x = 1,443.09

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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.