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Finding the Fourth Proportional to 1,592.42, 2,197.82 and 1,003.14

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Solution

The fourth proportional to 1,592.42, 2,197.82 and 1,003.14 is: 1,384.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592.42 : 2,197.82 = 1,003.14 : x
  2. Step 2: Convert to fraction form
    1,592.42/2,197.82 = 1,003.14/x
  3. Step 3: Cross multiply
    1,592.42x = 2,197.82 × 1,003.14
  4. Step 4: Simplify right side
    1,592.42x = 2,204,721.15
  5. Step 5: Solve for x
    x = 2,204,721.15/1,592.42
  6. Step 6: Final answer
    x = 1,384.51

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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.