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Finding the Fourth Proportional to 2,038.27, 3,057.12 and 805.36

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Solution

The fourth proportional to 2,038.27, 3,057.12 and 805.36 is: 1,207.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.27 : 3,057.12 = 805.36 : x
  2. Step 2: Convert to fraction form
    2,038.27/3,057.12 = 805.36/x
  3. Step 3: Cross multiply
    2,038.27x = 3,057.12 × 805.36
  4. Step 4: Simplify right side
    2,038.27x = 2,462,082.16
  5. Step 5: Solve for x
    x = 2,462,082.16/2,038.27
  6. Step 6: Final answer
    x = 1,207.93

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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.