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Finding the Fourth Proportional to 2,318.82, 3,480.06 and 858.42

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Solution

The fourth proportional to 2,318.82, 3,480.06 and 858.42 is: 1,288.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318.82 : 3,480.06 = 858.42 : x
  2. Step 2: Convert to fraction form
    2,318.82/3,480.06 = 858.42/x
  3. Step 3: Cross multiply
    2,318.82x = 3,480.06 × 858.42
  4. Step 4: Simplify right side
    2,318.82x = 2,987,353.11
  5. Step 5: Solve for x
    x = 2,987,353.11/2,318.82
  6. Step 6: Final answer
    x = 1,288.31

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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.