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Finding the Fourth Proportional to 2,805.68, 3,871.44 and 1,563.68

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Solution

The fourth proportional to 2,805.68, 3,871.44 and 1,563.68 is: 2,157.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.68 : 3,871.44 = 1,563.68 : x
  2. Step 2: Convert to fraction form
    2,805.68/3,871.44 = 1,563.68/x
  3. Step 3: Cross multiply
    2,805.68x = 3,871.44 × 1,563.68
  4. Step 4: Simplify right side
    2,805.68x = 6,053,693.30
  5. Step 5: Solve for x
    x = 6,053,693.30/2,805.68
  6. Step 6: Final answer
    x = 2,157.66

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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.