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Finding the Fourth Proportional to 1,563.68, 2,161.92 and 1,494.80

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Solution

The fourth proportional to 1,563.68, 2,161.92 and 1,494.80 is: 2,066.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.68 : 2,161.92 = 1,494.80 : x
  2. Step 2: Convert to fraction form
    1,563.68/2,161.92 = 1,494.80/x
  3. Step 3: Cross multiply
    1,563.68x = 2,161.92 × 1,494.80
  4. Step 4: Simplify right side
    1,563.68x = 3,231,638.02
  5. Step 5: Solve for x
    x = 3,231,638.02/1,563.68
  6. Step 6: Final answer
    x = 2,066.69

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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.