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Finding the Fourth Proportional to 2,199.46, 3,298.02 and 738.14

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Solution

The fourth proportional to 2,199.46, 3,298.02 and 738.14 is: 1,106.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.46 : 3,298.02 = 738.14 : x
  2. Step 2: Convert to fraction form
    2,199.46/3,298.02 = 738.14/x
  3. Step 3: Cross multiply
    2,199.46x = 3,298.02 × 738.14
  4. Step 4: Simplify right side
    2,199.46x = 2,434,400.48
  5. Step 5: Solve for x
    x = 2,434,400.48/2,199.46
  6. Step 6: Final answer
    x = 1,106.82

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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.