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Finding the Fourth Proportional to 2,743.86, 4,116.42 and 894.96

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Solution

The fourth proportional to 2,743.86, 4,116.42 and 894.96 is: 1,342.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,743.86 : 4,116.42 = 894.96 : x
  2. Step 2: Convert to fraction form
    2,743.86/4,116.42 = 894.96/x
  3. Step 3: Cross multiply
    2,743.86x = 4,116.42 × 894.96
  4. Step 4: Simplify right side
    2,743.86x = 3,684,031.24
  5. Step 5: Solve for x
    x = 3,684,031.24/2,743.86
  6. Step 6: Final answer
    x = 1,342.65

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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.