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Finding the Fourth Proportional to 2,883.34, 3,979.83 and 1,705.24

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Solution

The fourth proportional to 2,883.34, 3,979.83 and 1,705.24 is: 2,353.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,883.34 : 3,979.83 = 1,705.24 : x
  2. Step 2: Convert to fraction form
    2,883.34/3,979.83 = 1,705.24/x
  3. Step 3: Cross multiply
    2,883.34x = 3,979.83 × 1,705.24
  4. Step 4: Simplify right side
    2,883.34x = 6,786,565.31
  5. Step 5: Solve for x
    x = 6,786,565.31/2,883.34
  6. Step 6: Final answer
    x = 2,353.72

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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.