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Finding the Fourth Proportional to 2,743.13, 4,115.28 and 894.10

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Solution

The fourth proportional to 2,743.13, 4,115.28 and 894.10 is: 1,341.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,743.13 : 4,115.28 = 894.10 : x
  2. Step 2: Convert to fraction form
    2,743.13/4,115.28 = 894.10/x
  3. Step 3: Cross multiply
    2,743.13x = 4,115.28 × 894.10
  4. Step 4: Simplify right side
    2,743.13x = 3,679,471.85
  5. Step 5: Solve for x
    x = 3,679,471.85/2,743.13
  6. Step 6: Final answer
    x = 1,341.34

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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.