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Finding the Fourth Proportional to 2,806.25, 4,209.57 and 858.20

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Solution

The fourth proportional to 2,806.25, 4,209.57 and 858.20 is: 1,287.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.25 : 4,209.57 = 858.20 : x
  2. Step 2: Convert to fraction form
    2,806.25/4,209.57 = 858.20/x
  3. Step 3: Cross multiply
    2,806.25x = 4,209.57 × 858.20
  4. Step 4: Simplify right side
    2,806.25x = 3,612,631.93
  5. Step 5: Solve for x
    x = 3,612,631.93/2,806.25
  6. Step 6: Final answer
    x = 1,287.35

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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.