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Finding the Fourth Proportional to 2,082.81, 3,125.43 and 1,497.18

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Solution

The fourth proportional to 2,082.81, 3,125.43 and 1,497.18 is: 2,246.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.81 : 3,125.43 = 1,497.18 : x
  2. Step 2: Convert to fraction form
    2,082.81/3,125.43 = 1,497.18/x
  3. Step 3: Cross multiply
    2,082.81x = 3,125.43 × 1,497.18
  4. Step 4: Simplify right side
    2,082.81x = 4,679,331.29
  5. Step 5: Solve for x
    x = 4,679,331.29/2,082.81
  6. Step 6: Final answer
    x = 2,246.64

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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.