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Finding the Fourth Proportional to 3,091.95, 4,267.31 and 1,834.11

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Solution

The fourth proportional to 3,091.95, 4,267.31 and 1,834.11 is: 2,531.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,091.95 : 4,267.31 = 1,834.11 : x
  2. Step 2: Convert to fraction form
    3,091.95/4,267.31 = 1,834.11/x
  3. Step 3: Cross multiply
    3,091.95x = 4,267.31 × 1,834.11
  4. Step 4: Simplify right side
    3,091.95x = 7,826,706.77
  5. Step 5: Solve for x
    x = 7,826,706.77/3,091.95
  6. Step 6: Final answer
    x = 2,531.32

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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.