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Finding the Fourth Proportional to 2,743.76, 4,115.86 and 894.84

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Solution

The fourth proportional to 2,743.76, 4,115.86 and 894.84 is: 1,342.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,743.76 : 4,115.86 = 894.84 : x
  2. Step 2: Convert to fraction form
    2,743.76/4,115.86 = 894.84/x
  3. Step 3: Cross multiply
    2,743.76x = 4,115.86 × 894.84
  4. Step 4: Simplify right side
    2,743.76x = 3,683,036.16
  5. Step 5: Solve for x
    x = 3,683,036.16/2,743.76
  6. Step 6: Final answer
    x = 1,342.33

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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.