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Finding the Fourth Proportional to 2,319.42, 3,479.72 and 858.57

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Solution

The fourth proportional to 2,319.42, 3,479.72 and 858.57 is: 1,288.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,319.42 : 3,479.72 = 858.57 : x
  2. Step 2: Convert to fraction form
    2,319.42/3,479.72 = 858.57/x
  3. Step 3: Cross multiply
    2,319.42x = 3,479.72 × 858.57
  4. Step 4: Simplify right side
    2,319.42x = 2,987,579.24
  5. Step 5: Solve for x
    x = 2,987,579.24/2,319.42
  6. Step 6: Final answer
    x = 1,288.07

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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.