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Finding the Fourth Proportional to 2,870.68, 3,963.42 and 2,206.36

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Solution

The fourth proportional to 2,870.68, 3,963.42 and 2,206.36 is: 3,046.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870.68 : 3,963.42 = 2,206.36 : x
  2. Step 2: Convert to fraction form
    2,870.68/3,963.42 = 2,206.36/x
  3. Step 3: Cross multiply
    2,870.68x = 3,963.42 × 2,206.36
  4. Step 4: Simplify right side
    2,870.68x = 8,744,731.35
  5. Step 5: Solve for x
    x = 8,744,731.35/2,870.68
  6. Step 6: Final answer
    x = 3,046.22

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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.