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Finding the Fourth Proportional to 2,384.75, 3,283.61 and 2,118.72

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Solution

The fourth proportional to 2,384.75, 3,283.61 and 2,118.72 is: 2,917.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.75 : 3,283.61 = 2,118.72 : x
  2. Step 2: Convert to fraction form
    2,384.75/3,283.61 = 2,118.72/x
  3. Step 3: Cross multiply
    2,384.75x = 3,283.61 × 2,118.72
  4. Step 4: Simplify right side
    2,384.75x = 6,957,039.59
  5. Step 5: Solve for x
    x = 6,957,039.59/2,384.75
  6. Step 6: Final answer
    x = 2,917.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.