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Finding the Fourth Proportional to 2,715.52, 4,072.80 and 767.20

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Solution

The fourth proportional to 2,715.52, 4,072.80 and 767.20 is: 1,150.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.52 : 4,072.80 = 767.20 : x
  2. Step 2: Convert to fraction form
    2,715.52/4,072.80 = 767.20/x
  3. Step 3: Cross multiply
    2,715.52x = 4,072.80 × 767.20
  4. Step 4: Simplify right side
    2,715.52x = 3,124,652.16
  5. Step 5: Solve for x
    x = 3,124,652.16/2,715.52
  6. Step 6: Final answer
    x = 1,150.66

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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.