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Finding the Fourth Proportional to 2,176.46, 3,266.18 and 1,203.24

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Solution

The fourth proportional to 2,176.46, 3,266.18 and 1,203.24 is: 1,805.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176.46 : 3,266.18 = 1,203.24 : x
  2. Step 2: Convert to fraction form
    2,176.46/3,266.18 = 1,203.24/x
  3. Step 3: Cross multiply
    2,176.46x = 3,266.18 × 1,203.24
  4. Step 4: Simplify right side
    2,176.46x = 3,929,998.42
  5. Step 5: Solve for x
    x = 3,929,998.42/2,176.46
  6. Step 6: Final answer
    x = 1,805.68

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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.