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Finding the Fourth Proportional to 2,843.15, 4,264.08 and 894.89

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Solution

The fourth proportional to 2,843.15, 4,264.08 and 894.89 is: 1,342.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.15 : 4,264.08 = 894.89 : x
  2. Step 2: Convert to fraction form
    2,843.15/4,264.08 = 894.89/x
  3. Step 3: Cross multiply
    2,843.15x = 4,264.08 × 894.89
  4. Step 4: Simplify right side
    2,843.15x = 3,815,882.55
  5. Step 5: Solve for x
    x = 3,815,882.55/2,843.15
  6. Step 6: Final answer
    x = 1,342.13

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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.