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Finding the Fourth Proportional to 1,563.71, 2,152.98 and 1,189.49

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Solution

The fourth proportional to 1,563.71, 2,152.98 and 1,189.49 is: 1,637.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.71 : 2,152.98 = 1,189.49 : x
  2. Step 2: Convert to fraction form
    1,563.71/2,152.98 = 1,189.49/x
  3. Step 3: Cross multiply
    1,563.71x = 2,152.98 × 1,189.49
  4. Step 4: Simplify right side
    1,563.71x = 2,560,937.42
  5. Step 5: Solve for x
    x = 2,560,937.42/1,563.71
  6. Step 6: Final answer
    x = 1,637.74

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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.