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Finding the Fourth Proportional to 4,305.95, 6,461.42 and 1,806.92

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Solution

The fourth proportional to 4,305.95, 6,461.42 and 1,806.92 is: 2,711.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,305.95 : 6,461.42 = 1,806.92 : x
  2. Step 2: Convert to fraction form
    4,305.95/6,461.42 = 1,806.92/x
  3. Step 3: Cross multiply
    4,305.95x = 6,461.42 × 1,806.92
  4. Step 4: Simplify right side
    4,305.95x = 11,675,269.03
  5. Step 5: Solve for x
    x = 11,675,269.03/4,305.95
  6. Step 6: Final answer
    x = 2,711.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.