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Finding the Fourth Proportional to 2,806.94, 4,208.10 and 1,162.59

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Solution

The fourth proportional to 2,806.94, 4,208.10 and 1,162.59 is: 1,742.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.94 : 4,208.10 = 1,162.59 : x
  2. Step 2: Convert to fraction form
    2,806.94/4,208.10 = 1,162.59/x
  3. Step 3: Cross multiply
    2,806.94x = 4,208.10 × 1,162.59
  4. Step 4: Simplify right side
    2,806.94x = 4,892,294.98
  5. Step 5: Solve for x
    x = 4,892,294.98/2,806.94
  6. Step 6: Final answer
    x = 1,742.93

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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.