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Finding the Fourth Proportional to 2,541.52, 3,812.69 and 786.11

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Solution

The fourth proportional to 2,541.52, 3,812.69 and 786.11 is: 1,179.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541.52 : 3,812.69 = 786.11 : x
  2. Step 2: Convert to fraction form
    2,541.52/3,812.69 = 786.11/x
  3. Step 3: Cross multiply
    2,541.52x = 3,812.69 × 786.11
  4. Step 4: Simplify right side
    2,541.52x = 2,997,205.23
  5. Step 5: Solve for x
    x = 2,997,205.23/2,541.52
  6. Step 6: Final answer
    x = 1,179.30

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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.