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Finding the Fourth Proportional to 2,805.31, 4,208.19 and 858.88

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Solution

The fourth proportional to 2,805.31, 4,208.19 and 858.88 is: 1,288.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.31 : 4,208.19 = 858.88 : x
  2. Step 2: Convert to fraction form
    2,805.31/4,208.19 = 858.88/x
  3. Step 3: Cross multiply
    2,805.31x = 4,208.19 × 858.88
  4. Step 4: Simplify right side
    2,805.31x = 3,614,330.23
  5. Step 5: Solve for x
    x = 3,614,330.23/2,805.31
  6. Step 6: Final answer
    x = 1,288.39

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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.