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Finding the Fourth Proportional to 2,122.62, 3,162.04 and 2,058.14

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Solution

The fourth proportional to 2,122.62, 3,162.04 and 2,058.14 is: 3,065.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.62 : 3,162.04 = 2,058.14 : x
  2. Step 2: Convert to fraction form
    2,122.62/3,162.04 = 2,058.14/x
  3. Step 3: Cross multiply
    2,122.62x = 3,162.04 × 2,058.14
  4. Step 4: Simplify right side
    2,122.62x = 6,507,921.01
  5. Step 5: Solve for x
    x = 6,507,921.01/2,122.62
  6. Step 6: Final answer
    x = 3,065.98

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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.