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Finding the Fourth Proportional to 2,017.31, 2,783.17 and 1,319.09

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Solution

The fourth proportional to 2,017.31, 2,783.17 and 1,319.09 is: 1,819.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.31 : 2,783.17 = 1,319.09 : x
  2. Step 2: Convert to fraction form
    2,017.31/2,783.17 = 1,319.09/x
  3. Step 3: Cross multiply
    2,017.31x = 2,783.17 × 1,319.09
  4. Step 4: Simplify right side
    2,017.31x = 3,671,251.72
  5. Step 5: Solve for x
    x = 3,671,251.72/2,017.31
  6. Step 6: Final answer
    x = 1,819.87

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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.