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Finding the Fourth Proportional to 2,806.23, 4,209.81 and 1,051.84

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Solution

The fourth proportional to 2,806.23, 4,209.81 and 1,051.84 is: 1,577.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.23 : 4,209.81 = 1,051.84 : x
  2. Step 2: Convert to fraction form
    2,806.23/4,209.81 = 1,051.84/x
  3. Step 3: Cross multiply
    2,806.23x = 4,209.81 × 1,051.84
  4. Step 4: Simplify right side
    2,806.23x = 4,428,020.24
  5. Step 5: Solve for x
    x = 4,428,020.24/2,806.23
  6. Step 6: Final answer
    x = 1,577.92

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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.