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Finding the Fourth Proportional to 2,208.65, 3,312.96 and 748.83

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Solution

The fourth proportional to 2,208.65, 3,312.96 and 748.83 is: 1,123.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.65 : 3,312.96 = 748.83 : x
  2. Step 2: Convert to fraction form
    2,208.65/3,312.96 = 748.83/x
  3. Step 3: Cross multiply
    2,208.65x = 3,312.96 × 748.83
  4. Step 4: Simplify right side
    2,208.65x = 2,480,843.84
  5. Step 5: Solve for x
    x = 2,480,843.84/2,208.65
  6. Step 6: Final answer
    x = 1,123.24

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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.