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Finding the Fourth Proportional to 2,743.76, 4,116.24 and 1,012.52

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Solution

The fourth proportional to 2,743.76, 4,116.24 and 1,012.52 is: 1,519.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,743.76 : 4,116.24 = 1,012.52 : x
  2. Step 2: Convert to fraction form
    2,743.76/4,116.24 = 1,012.52/x
  3. Step 3: Cross multiply
    2,743.76x = 4,116.24 × 1,012.52
  4. Step 4: Simplify right side
    2,743.76x = 4,167,775.32
  5. Step 5: Solve for x
    x = 4,167,775.32/2,743.76
  6. Step 6: Final answer
    x = 1,519.00

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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.