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Finding the Fourth Proportional to 1,217.28, 1,825.86 and 351.66

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Solution

The fourth proportional to 1,217.28, 1,825.86 and 351.66 is: 527.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.28 : 1,825.86 = 351.66 : x
  2. Step 2: Convert to fraction form
    1,217.28/1,825.86 = 351.66/x
  3. Step 3: Cross multiply
    1,217.28x = 1,825.86 × 351.66
  4. Step 4: Simplify right side
    1,217.28x = 642,081.93
  5. Step 5: Solve for x
    x = 642,081.93/1,217.28
  6. Step 6: Final answer
    x = 527.47

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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.