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Finding the Fourth Proportional to 2,767.68, 4,134.06 and 2,330.28

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Solution

The fourth proportional to 2,767.68, 4,134.06 and 2,330.28 is: 3,480.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.68 : 4,134.06 = 2,330.28 : x
  2. Step 2: Convert to fraction form
    2,767.68/4,134.06 = 2,330.28/x
  3. Step 3: Cross multiply
    2,767.68x = 4,134.06 × 2,330.28
  4. Step 4: Simplify right side
    2,767.68x = 9,633,517.34
  5. Step 5: Solve for x
    x = 9,633,517.34/2,767.68
  6. Step 6: Final answer
    x = 3,480.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.