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Finding the Fourth Proportional to 2,825.83, 4,238.71 and 717.45

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Solution

The fourth proportional to 2,825.83, 4,238.71 and 717.45 is: 1,076.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,825.83 : 4,238.71 = 717.45 : x
  2. Step 2: Convert to fraction form
    2,825.83/4,238.71 = 717.45/x
  3. Step 3: Cross multiply
    2,825.83x = 4,238.71 × 717.45
  4. Step 4: Simplify right side
    2,825.83x = 3,041,078.64
  5. Step 5: Solve for x
    x = 3,041,078.64/2,825.83
  6. Step 6: Final answer
    x = 1,076.17

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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.