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Finding the Fourth Proportional to 2,214.28, 3,319.06 and 752.92

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Solution

The fourth proportional to 2,214.28, 3,319.06 and 752.92 is: 1,128.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.28 : 3,319.06 = 752.92 : x
  2. Step 2: Convert to fraction form
    2,214.28/3,319.06 = 752.92/x
  3. Step 3: Cross multiply
    2,214.28x = 3,319.06 × 752.92
  4. Step 4: Simplify right side
    2,214.28x = 2,498,986.66
  5. Step 5: Solve for x
    x = 2,498,986.66/2,214.28
  6. Step 6: Final answer
    x = 1,128.58

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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.