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Finding the Fourth Proportional to 2,767.68, 4,150.08 and 1,035

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Solution

The fourth proportional to 2,767.68, 4,150.08 and 1,035 is: 1,551.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.68 : 4,150.08 = 1,035 : x
  2. Step 2: Convert to fraction form
    2,767.68/4,150.08 = 1,035/x
  3. Step 3: Cross multiply
    2,767.68x = 4,150.08 × 1,035
  4. Step 4: Simplify right side
    2,767.68x = 4,295,332.80
  5. Step 5: Solve for x
    x = 4,295,332.80/2,767.68
  6. Step 6: Final answer
    x = 1,551.96

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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.