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Finding the Fourth Proportional to 2,943.69, 4,415.61 and 863.76

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Solution

The fourth proportional to 2,943.69, 4,415.61 and 863.76 is: 1,295.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,943.69 : 4,415.61 = 863.76 : x
  2. Step 2: Convert to fraction form
    2,943.69/4,415.61 = 863.76/x
  3. Step 3: Cross multiply
    2,943.69x = 4,415.61 × 863.76
  4. Step 4: Simplify right side
    2,943.69x = 3,814,027.29
  5. Step 5: Solve for x
    x = 3,814,027.29/2,943.69
  6. Step 6: Final answer
    x = 1,295.66

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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.