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Finding the Fourth Proportional to 2,038.05, 3,057.29 and 805.29

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Solution

The fourth proportional to 2,038.05, 3,057.29 and 805.29 is: 1,208.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.05 : 3,057.29 = 805.29 : x
  2. Step 2: Convert to fraction form
    2,038.05/3,057.29 = 805.29/x
  3. Step 3: Cross multiply
    2,038.05x = 3,057.29 × 805.29
  4. Step 4: Simplify right side
    2,038.05x = 2,462,005.06
  5. Step 5: Solve for x
    x = 2,462,005.06/2,038.05
  6. Step 6: Final answer
    x = 1,208.02

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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.