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Finding the Fourth Proportional to 2,319.15, 3,479.24 and 858.30

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Solution

The fourth proportional to 2,319.15, 3,479.24 and 858.30 is: 1,287.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,319.15 : 3,479.24 = 858.30 : x
  2. Step 2: Convert to fraction form
    2,319.15/3,479.24 = 858.30/x
  3. Step 3: Cross multiply
    2,319.15x = 3,479.24 × 858.30
  4. Step 4: Simplify right side
    2,319.15x = 2,986,231.69
  5. Step 5: Solve for x
    x = 2,986,231.69/2,319.15
  6. Step 6: Final answer
    x = 1,287.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.