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Finding the Fourth Proportional to 2,003.42, 2,984.98 and 1,891.64

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Solution

The fourth proportional to 2,003.42, 2,984.98 and 1,891.64 is: 2,818.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.42 : 2,984.98 = 1,891.64 : x
  2. Step 2: Convert to fraction form
    2,003.42/2,984.98 = 1,891.64/x
  3. Step 3: Cross multiply
    2,003.42x = 2,984.98 × 1,891.64
  4. Step 4: Simplify right side
    2,003.42x = 5,646,507.57
  5. Step 5: Solve for x
    x = 5,646,507.57/2,003.42
  6. Step 6: Final answer
    x = 2,818.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.