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Finding the Fourth Proportional to 2,843.59, 4,265.93 and 896.35

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Solution

The fourth proportional to 2,843.59, 4,265.93 and 896.35 is: 1,344.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.59 : 4,265.93 = 896.35 : x
  2. Step 2: Convert to fraction form
    2,843.59/4,265.93 = 896.35/x
  3. Step 3: Cross multiply
    2,843.59x = 4,265.93 × 896.35
  4. Step 4: Simplify right side
    2,843.59x = 3,823,766.36
  5. Step 5: Solve for x
    x = 3,823,766.36/2,843.59
  6. Step 6: Final answer
    x = 1,344.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.