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Finding the Fourth Proportional to 2,284.92, 3,430.62 and 2,180.52

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Solution

The fourth proportional to 2,284.92, 3,430.62 and 2,180.52 is: 3,273.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.92 : 3,430.62 = 2,180.52 : x
  2. Step 2: Convert to fraction form
    2,284.92/3,430.62 = 2,180.52/x
  3. Step 3: Cross multiply
    2,284.92x = 3,430.62 × 2,180.52
  4. Step 4: Simplify right side
    2,284.92x = 7,480,535.52
  5. Step 5: Solve for x
    x = 7,480,535.52/2,284.92
  6. Step 6: Final answer
    x = 3,273.87

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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.