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Finding the Fourth Proportional to 2,806.04, 4,209.10 and 1,162.60

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Solution

The fourth proportional to 2,806.04, 4,209.10 and 1,162.60 is: 1,743.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.04 : 4,209.10 = 1,162.60 : x
  2. Step 2: Convert to fraction form
    2,806.04/4,209.10 = 1,162.60/x
  3. Step 3: Cross multiply
    2,806.04x = 4,209.10 × 1,162.60
  4. Step 4: Simplify right side
    2,806.04x = 4,893,499.66
  5. Step 5: Solve for x
    x = 4,893,499.66/2,806.04
  6. Step 6: Final answer
    x = 1,743.92

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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.