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Finding the Fourth Proportional to 2,038.24, 3,057.15 and 805.33

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Solution

The fourth proportional to 2,038.24, 3,057.15 and 805.33 is: 1,207.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.24 : 3,057.15 = 805.33 : x
  2. Step 2: Convert to fraction form
    2,038.24/3,057.15 = 805.33/x
  3. Step 3: Cross multiply
    2,038.24x = 3,057.15 × 805.33
  4. Step 4: Simplify right side
    2,038.24x = 2,461,999.32
  5. Step 5: Solve for x
    x = 2,461,999.32/2,038.24
  6. Step 6: Final answer
    x = 1,207.91

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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.