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Finding the Fourth Proportional to 2,199.48, 3,299.71 and 738.59

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Solution

The fourth proportional to 2,199.48, 3,299.71 and 738.59 is: 1,108.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.48 : 3,299.71 = 738.59 : x
  2. Step 2: Convert to fraction form
    2,199.48/3,299.71 = 738.59/x
  3. Step 3: Cross multiply
    2,199.48x = 3,299.71 × 738.59
  4. Step 4: Simplify right side
    2,199.48x = 2,437,132.81
  5. Step 5: Solve for x
    x = 2,437,132.81/2,199.48
  6. Step 6: Final answer
    x = 1,108.05

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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.