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Finding the Fourth Proportional to 2,057.34, 2,836.17 and 1,466.85

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Solution

The fourth proportional to 2,057.34, 2,836.17 and 1,466.85 is: 2,022.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.34 : 2,836.17 = 1,466.85 : x
  2. Step 2: Convert to fraction form
    2,057.34/2,836.17 = 1,466.85/x
  3. Step 3: Cross multiply
    2,057.34x = 2,836.17 × 1,466.85
  4. Step 4: Simplify right side
    2,057.34x = 4,160,225.33
  5. Step 5: Solve for x
    x = 4,160,225.33/2,057.34
  6. Step 6: Final answer
    x = 2,022.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.