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Finding the Fourth Proportional to 2,011.75, 2,773.48 and 1,508.36

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Solution

The fourth proportional to 2,011.75, 2,773.48 and 1,508.36 is: 2,079.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.75 : 2,773.48 = 1,508.36 : x
  2. Step 2: Convert to fraction form
    2,011.75/2,773.48 = 1,508.36/x
  3. Step 3: Cross multiply
    2,011.75x = 2,773.48 × 1,508.36
  4. Step 4: Simplify right side
    2,011.75x = 4,183,398.75
  5. Step 5: Solve for x
    x = 4,183,398.75/2,011.75
  6. Step 6: Final answer
    x = 2,079.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.