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Finding the Fourth Proportional to 2,016.42, 3,023.64 and 906.18

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Solution

The fourth proportional to 2,016.42, 3,023.64 and 906.18 is: 1,358.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.42 : 3,023.64 = 906.18 : x
  2. Step 2: Convert to fraction form
    2,016.42/3,023.64 = 906.18/x
  3. Step 3: Cross multiply
    2,016.42x = 3,023.64 × 906.18
  4. Step 4: Simplify right side
    2,016.42x = 2,739,962.10
  5. Step 5: Solve for x
    x = 2,739,962.10/2,016.42
  6. Step 6: Final answer
    x = 1,358.83

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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.