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Finding the Fourth Proportional to 2,479.63, 3,719.64 and 748.25

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Solution

The fourth proportional to 2,479.63, 3,719.64 and 748.25 is: 1,122.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,479.63 : 3,719.64 = 748.25 : x
  2. Step 2: Convert to fraction form
    2,479.63/3,719.64 = 748.25/x
  3. Step 3: Cross multiply
    2,479.63x = 3,719.64 × 748.25
  4. Step 4: Simplify right side
    2,479.63x = 2,783,220.63
  5. Step 5: Solve for x
    x = 2,783,220.63/2,479.63
  6. Step 6: Final answer
    x = 1,122.44

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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.