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Finding the Fourth Proportional to 2,443.18, 3,664.78 and 799.88

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Solution

The fourth proportional to 2,443.18, 3,664.78 and 799.88 is: 1,199.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443.18 : 3,664.78 = 799.88 : x
  2. Step 2: Convert to fraction form
    2,443.18/3,664.78 = 799.88/x
  3. Step 3: Cross multiply
    2,443.18x = 3,664.78 × 799.88
  4. Step 4: Simplify right side
    2,443.18x = 2,931,384.23
  5. Step 5: Solve for x
    x = 2,931,384.23/2,443.18
  6. Step 6: Final answer
    x = 1,199.82

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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.