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Finding the Fourth Proportional to 2,444.08, 3,656.81 and 2,149.24

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Solution

The fourth proportional to 2,444.08, 3,656.81 and 2,149.24 is: 3,215.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,444.08 : 3,656.81 = 2,149.24 : x
  2. Step 2: Convert to fraction form
    2,444.08/3,656.81 = 2,149.24/x
  3. Step 3: Cross multiply
    2,444.08x = 3,656.81 × 2,149.24
  4. Step 4: Simplify right side
    2,444.08x = 7,859,351.58
  5. Step 5: Solve for x
    x = 7,859,351.58/2,444.08
  6. Step 6: Final answer
    x = 3,215.67

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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.