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Finding the Fourth Proportional to 2,769.55, 4,154.57 and 795.19

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Solution

The fourth proportional to 2,769.55, 4,154.57 and 795.19 is: 1,192.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.55 : 4,154.57 = 795.19 : x
  2. Step 2: Convert to fraction form
    2,769.55/4,154.57 = 795.19/x
  3. Step 3: Cross multiply
    2,769.55x = 4,154.57 × 795.19
  4. Step 4: Simplify right side
    2,769.55x = 3,303,672.52
  5. Step 5: Solve for x
    x = 3,303,672.52/2,769.55
  6. Step 6: Final answer
    x = 1,192.86

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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.