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Finding the Fourth Proportional to 3,407.40, 4,703.04 and 2,082.22

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Solution

The fourth proportional to 3,407.40, 4,703.04 and 2,082.22 is: 2,873.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.40 : 4,703.04 = 2,082.22 : x
  2. Step 2: Convert to fraction form
    3,407.40/4,703.04 = 2,082.22/x
  3. Step 3: Cross multiply
    3,407.40x = 4,703.04 × 2,082.22
  4. Step 4: Simplify right side
    3,407.40x = 9,792,763.95
  5. Step 5: Solve for x
    x = 9,792,763.95/3,407.40
  6. Step 6: Final answer
    x = 2,873.97

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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.