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Finding the Fourth Proportional to 2,763.95, 3,813.58 and 1,568.66

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Solution

The fourth proportional to 2,763.95, 3,813.58 and 1,568.66 is: 2,164.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.95 : 3,813.58 = 1,568.66 : x
  2. Step 2: Convert to fraction form
    2,763.95/3,813.58 = 1,568.66/x
  3. Step 3: Cross multiply
    2,763.95x = 3,813.58 × 1,568.66
  4. Step 4: Simplify right side
    2,763.95x = 5,982,224.70
  5. Step 5: Solve for x
    x = 5,982,224.70/2,763.95
  6. Step 6: Final answer
    x = 2,164.38

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Why These Related Problems?

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