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Finding the Fourth Proportional to 2,267.22, 3,400.92 and 1,034.70

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Solution

The fourth proportional to 2,267.22, 3,400.92 and 1,034.70 is: 1,552.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.22 : 3,400.92 = 1,034.70 : x
  2. Step 2: Convert to fraction form
    2,267.22/3,400.92 = 1,034.70/x
  3. Step 3: Cross multiply
    2,267.22x = 3,400.92 × 1,034.70
  4. Step 4: Simplify right side
    2,267.22x = 3,518,931.92
  5. Step 5: Solve for x
    x = 3,518,931.92/2,267.22
  6. Step 6: Final answer
    x = 1,552.09

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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.