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Finding the Fourth Proportional to 2,736.56, 4,103.37 and 862.10

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Solution

The fourth proportional to 2,736.56, 4,103.37 and 862.10 is: 1,292.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,736.56 : 4,103.37 = 862.10 : x
  2. Step 2: Convert to fraction form
    2,736.56/4,103.37 = 862.10/x
  3. Step 3: Cross multiply
    2,736.56x = 4,103.37 × 862.10
  4. Step 4: Simplify right side
    2,736.56x = 3,537,519.46
  5. Step 5: Solve for x
    x = 3,537,519.46/2,736.56
  6. Step 6: Final answer
    x = 1,292.69

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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.