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Finding the Fourth Proportional to 2,947.13, 4,067.03 and 1,705.13

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Solution

The fourth proportional to 2,947.13, 4,067.03 and 1,705.13 is: 2,353.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947.13 : 4,067.03 = 1,705.13 : x
  2. Step 2: Convert to fraction form
    2,947.13/4,067.03 = 1,705.13/x
  3. Step 3: Cross multiply
    2,947.13x = 4,067.03 × 1,705.13
  4. Step 4: Simplify right side
    2,947.13x = 6,934,798.79
  5. Step 5: Solve for x
    x = 6,934,798.79/2,947.13
  6. Step 6: Final answer
    x = 2,353.07

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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.