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Finding the Fourth Proportional to 2,249.79, 3,374.99 and 844.67

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Solution

The fourth proportional to 2,249.79, 3,374.99 and 844.67 is: 1,267.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249.79 : 3,374.99 = 844.67 : x
  2. Step 2: Convert to fraction form
    2,249.79/3,374.99 = 844.67/x
  3. Step 3: Cross multiply
    2,249.79x = 3,374.99 × 844.67
  4. Step 4: Simplify right side
    2,249.79x = 2,850,731.71
  5. Step 5: Solve for x
    x = 2,850,731.71/2,249.79
  6. Step 6: Final answer
    x = 1,267.11

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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.