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Finding the Fourth Proportional to 4,266.80, 6,400.49 and 1,493.15

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Solution

The fourth proportional to 4,266.80, 6,400.49 and 1,493.15 is: 2,239.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,266.80 : 6,400.49 = 1,493.15 : x
  2. Step 2: Convert to fraction form
    4,266.80/6,400.49 = 1,493.15/x
  3. Step 3: Cross multiply
    4,266.80x = 6,400.49 × 1,493.15
  4. Step 4: Simplify right side
    4,266.80x = 9,556,852.18
  5. Step 5: Solve for x
    x = 9,556,852.18/4,266.80
  6. Step 6: Final answer
    x = 2,239.82

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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.