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Finding the Fourth Proportional to 1,844.64, 2,544.76 and 1,098.18

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Solution

The fourth proportional to 1,844.64, 2,544.76 and 1,098.18 is: 1,514.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,844.64 : 2,544.76 = 1,098.18 : x
  2. Step 2: Convert to fraction form
    1,844.64/2,544.76 = 1,098.18/x
  3. Step 3: Cross multiply
    1,844.64x = 2,544.76 × 1,098.18
  4. Step 4: Simplify right side
    1,844.64x = 2,794,604.54
  5. Step 5: Solve for x
    x = 2,794,604.54/1,844.64
  6. Step 6: Final answer
    x = 1,514.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.