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Finding the Fourth Proportional to 2,943.80, 4,065.08 and 2,196.46

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Solution

The fourth proportional to 2,943.80, 4,065.08 and 2,196.46 is: 3,033.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,943.80 : 4,065.08 = 2,196.46 : x
  2. Step 2: Convert to fraction form
    2,943.80/4,065.08 = 2,196.46/x
  3. Step 3: Cross multiply
    2,943.80x = 4,065.08 × 2,196.46
  4. Step 4: Simplify right side
    2,943.80x = 8,928,785.62
  5. Step 5: Solve for x
    x = 8,928,785.62/2,943.80
  6. Step 6: Final answer
    x = 3,033.08

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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.