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Finding the Fourth Proportional to 2,585.56, 3,879.82 and 2,152.06

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Solution

The fourth proportional to 2,585.56, 3,879.82 and 2,152.06 is: 3,229.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.56 : 3,879.82 = 2,152.06 : x
  2. Step 2: Convert to fraction form
    2,585.56/3,879.82 = 2,152.06/x
  3. Step 3: Cross multiply
    2,585.56x = 3,879.82 × 2,152.06
  4. Step 4: Simplify right side
    2,585.56x = 8,349,597.23
  5. Step 5: Solve for x
    x = 8,349,597.23/2,585.56
  6. Step 6: Final answer
    x = 3,229.32

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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.