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Finding the Fourth Proportional to 2,760.19, 4,140.28 and 813.76

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Solution

The fourth proportional to 2,760.19, 4,140.28 and 813.76 is: 1,220.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.19 : 4,140.28 = 813.76 : x
  2. Step 2: Convert to fraction form
    2,760.19/4,140.28 = 813.76/x
  3. Step 3: Cross multiply
    2,760.19x = 4,140.28 × 813.76
  4. Step 4: Simplify right side
    2,760.19x = 3,369,194.25
  5. Step 5: Solve for x
    x = 3,369,194.25/2,760.19
  6. Step 6: Final answer
    x = 1,220.64

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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.