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Finding the Fourth Proportional to 2,253.64, 3,377.40 and 1,267.24

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Solution

The fourth proportional to 2,253.64, 3,377.40 and 1,267.24 is: 1,899.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,253.64 : 3,377.40 = 1,267.24 : x
  2. Step 2: Convert to fraction form
    2,253.64/3,377.40 = 1,267.24/x
  3. Step 3: Cross multiply
    2,253.64x = 3,377.40 × 1,267.24
  4. Step 4: Simplify right side
    2,253.64x = 4,279,976.38
  5. Step 5: Solve for x
    x = 4,279,976.38/2,253.64
  6. Step 6: Final answer
    x = 1,899.14

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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.