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Finding the Fourth Proportional to 2,843.16, 4,265.31 and 894.91

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Solution

The fourth proportional to 2,843.16, 4,265.31 and 894.91 is: 1,342.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.16 : 4,265.31 = 894.91 : x
  2. Step 2: Convert to fraction form
    2,843.16/4,265.31 = 894.91/x
  3. Step 3: Cross multiply
    2,843.16x = 4,265.31 × 894.91
  4. Step 4: Simplify right side
    2,843.16x = 3,817,047.25
  5. Step 5: Solve for x
    x = 3,817,047.25/2,843.16
  6. Step 6: Final answer
    x = 1,342.54

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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.