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Finding the Fourth Proportional to 2,199.34, 3,298.74 and 966.52

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Solution

The fourth proportional to 2,199.34, 3,298.74 and 966.52 is: 1,449.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.34 : 3,298.74 = 966.52 : x
  2. Step 2: Convert to fraction form
    2,199.34/3,298.74 = 966.52/x
  3. Step 3: Cross multiply
    2,199.34x = 3,298.74 × 966.52
  4. Step 4: Simplify right side
    2,199.34x = 3,188,298.18
  5. Step 5: Solve for x
    x = 3,188,298.18/2,199.34
  6. Step 6: Final answer
    x = 1,449.66

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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.