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Finding the Fourth Proportional to 2,843.64, 4,265.16 and 894.78

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Solution

The fourth proportional to 2,843.64, 4,265.16 and 894.78 is: 1,342.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.64 : 4,265.16 = 894.78 : x
  2. Step 2: Convert to fraction form
    2,843.64/4,265.16 = 894.78/x
  3. Step 3: Cross multiply
    2,843.64x = 4,265.16 × 894.78
  4. Step 4: Simplify right side
    2,843.64x = 3,816,379.86
  5. Step 5: Solve for x
    x = 3,816,379.86/2,843.64
  6. Step 6: Final answer
    x = 1,342.08

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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.