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Finding the Fourth Proportional to 2,059.17, 3,082.76 and 1,534.41

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Solution

The fourth proportional to 2,059.17, 3,082.76 and 1,534.41 is: 2,297.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.17 : 3,082.76 = 1,534.41 : x
  2. Step 2: Convert to fraction form
    2,059.17/3,082.76 = 1,534.41/x
  3. Step 3: Cross multiply
    2,059.17x = 3,082.76 × 1,534.41
  4. Step 4: Simplify right side
    2,059.17x = 4,730,215.85
  5. Step 5: Solve for x
    x = 4,730,215.85/2,059.17
  6. Step 6: Final answer
    x = 2,297.14

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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.