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Finding the Fourth Proportional to 2,806.41, 3,872.71 and 1,564.17

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Solution

The fourth proportional to 2,806.41, 3,872.71 and 1,564.17 is: 2,158.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.41 : 3,872.71 = 1,564.17 : x
  2. Step 2: Convert to fraction form
    2,806.41/3,872.71 = 1,564.17/x
  3. Step 3: Cross multiply
    2,806.41x = 3,872.71 × 1,564.17
  4. Step 4: Simplify right side
    2,806.41x = 6,057,568.98
  5. Step 5: Solve for x
    x = 6,057,568.98/2,806.41
  6. Step 6: Final answer
    x = 2,158.48

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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.