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Finding the Fourth Proportional to 2,252.91, 3,379.47 and 865.75

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Solution

The fourth proportional to 2,252.91, 3,379.47 and 865.75 is: 1,298.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,252.91 : 3,379.47 = 865.75 : x
  2. Step 2: Convert to fraction form
    2,252.91/3,379.47 = 865.75/x
  3. Step 3: Cross multiply
    2,252.91x = 3,379.47 × 865.75
  4. Step 4: Simplify right side
    2,252.91x = 2,925,788.83
  5. Step 5: Solve for x
    x = 2,925,788.83/2,252.91
  6. Step 6: Final answer
    x = 1,298.67

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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.