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Finding the Fourth Proportional to 3,471.70, 4,790.34 and 1,959.16

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Solution

The fourth proportional to 3,471.70, 4,790.34 and 1,959.16 is: 2,703.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.70 : 4,790.34 = 1,959.16 : x
  2. Step 2: Convert to fraction form
    3,471.70/4,790.34 = 1,959.16/x
  3. Step 3: Cross multiply
    3,471.70x = 4,790.34 × 1,959.16
  4. Step 4: Simplify right side
    3,471.70x = 9,385,042.51
  5. Step 5: Solve for x
    x = 9,385,042.51/3,471.70
  6. Step 6: Final answer
    x = 2,703.30

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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.