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Finding the Fourth Proportional to 2,199.28, 3,298.40 and 638.93

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Solution

The fourth proportional to 2,199.28, 3,298.40 and 638.93 is: 958.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.28 : 3,298.40 = 638.93 : x
  2. Step 2: Convert to fraction form
    2,199.28/3,298.40 = 638.93/x
  3. Step 3: Cross multiply
    2,199.28x = 3,298.40 × 638.93
  4. Step 4: Simplify right side
    2,199.28x = 2,107,443.09
  5. Step 5: Solve for x
    x = 2,107,443.09/2,199.28
  6. Step 6: Final answer
    x = 958.24

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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.