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Finding the Fourth Proportional to 1,883.57, 2,599.86 and 1,097.87

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Solution

The fourth proportional to 1,883.57, 2,599.86 and 1,097.87 is: 1,515.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,883.57 : 2,599.86 = 1,097.87 : x
  2. Step 2: Convert to fraction form
    1,883.57/2,599.86 = 1,097.87/x
  3. Step 3: Cross multiply
    1,883.57x = 2,599.86 × 1,097.87
  4. Step 4: Simplify right side
    1,883.57x = 2,854,308.30
  5. Step 5: Solve for x
    x = 2,854,308.30/1,883.57
  6. Step 6: Final answer
    x = 1,515.37

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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.