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Finding the Fourth Proportional to 2,296.52, 3,170.66 and 1,511.92

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Solution

The fourth proportional to 2,296.52, 3,170.66 and 1,511.92 is: 2,087.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.52 : 3,170.66 = 1,511.92 : x
  2. Step 2: Convert to fraction form
    2,296.52/3,170.66 = 1,511.92/x
  3. Step 3: Cross multiply
    2,296.52x = 3,170.66 × 1,511.92
  4. Step 4: Simplify right side
    2,296.52x = 4,793,784.27
  5. Step 5: Solve for x
    x = 4,793,784.27/2,296.52
  6. Step 6: Final answer
    x = 2,087.41

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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.