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Finding the Fourth Proportional to 1,927.30, 2,884.55 and 1,351.30

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Solution

The fourth proportional to 1,927.30, 2,884.55 and 1,351.30 is: 2,022.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,927.30 : 2,884.55 = 1,351.30 : x
  2. Step 2: Convert to fraction form
    1,927.30/2,884.55 = 1,351.30/x
  3. Step 3: Cross multiply
    1,927.30x = 2,884.55 × 1,351.30
  4. Step 4: Simplify right side
    1,927.30x = 3,897,892.42
  5. Step 5: Solve for x
    x = 3,897,892.42/1,927.30
  6. Step 6: Final answer
    x = 2,022.46

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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.