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Finding the Fourth Proportional to 2,810.63, 3,878.67 and 1,568.63

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Solution

The fourth proportional to 2,810.63, 3,878.67 and 1,568.63 is: 2,164.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.63 : 3,878.67 = 1,568.63 : x
  2. Step 2: Convert to fraction form
    2,810.63/3,878.67 = 1,568.63/x
  3. Step 3: Cross multiply
    2,810.63x = 3,878.67 × 1,568.63
  4. Step 4: Simplify right side
    2,810.63x = 6,084,178.73
  5. Step 5: Solve for x
    x = 6,084,178.73/2,810.63
  6. Step 6: Final answer
    x = 2,164.71

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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.