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Finding the Fourth Proportional to 2,769.96, 4,156.16 and 1,471.53

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Solution

The fourth proportional to 2,769.96, 4,156.16 and 1,471.53 is: 2,207.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.96 : 4,156.16 = 1,471.53 : x
  2. Step 2: Convert to fraction form
    2,769.96/4,156.16 = 1,471.53/x
  3. Step 3: Cross multiply
    2,769.96x = 4,156.16 × 1,471.53
  4. Step 4: Simplify right side
    2,769.96x = 6,115,914.12
  5. Step 5: Solve for x
    x = 6,115,914.12/2,769.96
  6. Step 6: Final answer
    x = 2,207.94

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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.