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Finding the Fourth Proportional to 2,843.80, 4,265.66 and 994.91

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Solution

The fourth proportional to 2,843.80, 4,265.66 and 994.91 is: 1,492.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.80 : 4,265.66 = 994.91 : x
  2. Step 2: Convert to fraction form
    2,843.80/4,265.66 = 994.91/x
  3. Step 3: Cross multiply
    2,843.80x = 4,265.66 × 994.91
  4. Step 4: Simplify right side
    2,843.80x = 4,243,928.95
  5. Step 5: Solve for x
    x = 4,243,928.95/2,843.80
  6. Step 6: Final answer
    x = 1,492.35

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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.