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Finding the Fourth Proportional to 3,407.69, 4,703.04 and 2,081.11

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Solution

The fourth proportional to 3,407.69, 4,703.04 and 2,081.11 is: 2,872.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.69 : 4,703.04 = 2,081.11 : x
  2. Step 2: Convert to fraction form
    3,407.69/4,703.04 = 2,081.11/x
  3. Step 3: Cross multiply
    3,407.69x = 4,703.04 × 2,081.11
  4. Step 4: Simplify right side
    3,407.69x = 9,787,543.57
  5. Step 5: Solve for x
    x = 9,787,543.57/3,407.69
  6. Step 6: Final answer
    x = 2,872.19

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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.