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Finding the Fourth Proportional to 3,160.84, 4,741.53 and 820.81

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Solution

The fourth proportional to 3,160.84, 4,741.53 and 820.81 is: 1,231.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.84 : 4,741.53 = 820.81 : x
  2. Step 2: Convert to fraction form
    3,160.84/4,741.53 = 820.81/x
  3. Step 3: Cross multiply
    3,160.84x = 4,741.53 × 820.81
  4. Step 4: Simplify right side
    3,160.84x = 3,891,895.24
  5. Step 5: Solve for x
    x = 3,891,895.24/3,160.84
  6. Step 6: Final answer
    x = 1,231.29

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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.