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Finding the Fourth Proportional to 1,563.22, 2,344.80 and 741.88

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Solution

The fourth proportional to 1,563.22, 2,344.80 and 741.88 is: 1,112.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.22 : 2,344.80 = 741.88 : x
  2. Step 2: Convert to fraction form
    1,563.22/2,344.80 = 741.88/x
  3. Step 3: Cross multiply
    1,563.22x = 2,344.80 × 741.88
  4. Step 4: Simplify right side
    1,563.22x = 1,739,560.22
  5. Step 5: Solve for x
    x = 1,739,560.22/1,563.22
  6. Step 6: Final answer
    x = 1,112.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.