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Finding the Fourth Proportional to 2,058.72, 3,068.52 and 1,991.22

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Solution

The fourth proportional to 2,058.72, 3,068.52 and 1,991.22 is: 2,967.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.72 : 3,068.52 = 1,991.22 : x
  2. Step 2: Convert to fraction form
    2,058.72/3,068.52 = 1,991.22/x
  3. Step 3: Cross multiply
    2,058.72x = 3,068.52 × 1,991.22
  4. Step 4: Simplify right side
    2,058.72x = 6,110,098.39
  5. Step 5: Solve for x
    x = 6,110,098.39/2,058.72
  6. Step 6: Final answer
    x = 2,967.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.