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Finding the Fourth Proportional to 2,810.28, 3,878.22 and 1,568.28

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Solution

The fourth proportional to 2,810.28, 3,878.22 and 1,568.28 is: 2,164.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.28 : 3,878.22 = 1,568.28 : x
  2. Step 2: Convert to fraction form
    2,810.28/3,878.22 = 1,568.28/x
  3. Step 3: Cross multiply
    2,810.28x = 3,878.22 × 1,568.28
  4. Step 4: Simplify right side
    2,810.28x = 6,082,134.86
  5. Step 5: Solve for x
    x = 6,082,134.86/2,810.28
  6. Step 6: Final answer
    x = 2,164.25

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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.