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Finding the Fourth Proportional to 2,312.28, 3,468.43 and 773.28

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Solution

The fourth proportional to 2,312.28, 3,468.43 and 773.28 is: 1,159.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.28 : 3,468.43 = 773.28 : x
  2. Step 2: Convert to fraction form
    2,312.28/3,468.43 = 773.28/x
  3. Step 3: Cross multiply
    2,312.28x = 3,468.43 × 773.28
  4. Step 4: Simplify right side
    2,312.28x = 2,682,063.68
  5. Step 5: Solve for x
    x = 2,682,063.68/2,312.28
  6. Step 6: Final answer
    x = 1,159.92

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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.