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Finding the Fourth Proportional to 1,883.98, 2,599.44 and 1,097.92

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Solution

The fourth proportional to 1,883.98, 2,599.44 and 1,097.92 is: 1,514.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,883.98 : 2,599.44 = 1,097.92 : x
  2. Step 2: Convert to fraction form
    1,883.98/2,599.44 = 1,097.92/x
  3. Step 3: Cross multiply
    1,883.98x = 2,599.44 × 1,097.92
  4. Step 4: Simplify right side
    1,883.98x = 2,853,977.16
  5. Step 5: Solve for x
    x = 2,853,977.16/1,883.98
  6. Step 6: Final answer
    x = 1,514.87

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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.