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Finding the Fourth Proportional to 2,267.30, 3,399.12 and 1,034.07

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Solution

The fourth proportional to 2,267.30, 3,399.12 and 1,034.07 is: 1,550.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.30 : 3,399.12 = 1,034.07 : x
  2. Step 2: Convert to fraction form
    2,267.30/3,399.12 = 1,034.07/x
  3. Step 3: Cross multiply
    2,267.30x = 3,399.12 × 1,034.07
  4. Step 4: Simplify right side
    2,267.30x = 3,514,928.02
  5. Step 5: Solve for x
    x = 3,514,928.02/2,267.30
  6. Step 6: Final answer
    x = 1,550.27

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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.