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Finding the Fourth Proportional to 2,014.92, 2,781.36 and 1,269.12

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Solution

The fourth proportional to 2,014.92, 2,781.36 and 1,269.12 is: 1,751.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.92 : 2,781.36 = 1,269.12 : x
  2. Step 2: Convert to fraction form
    2,014.92/2,781.36 = 1,269.12/x
  3. Step 3: Cross multiply
    2,014.92x = 2,781.36 × 1,269.12
  4. Step 4: Simplify right side
    2,014.92x = 3,529,879.60
  5. Step 5: Solve for x
    x = 3,529,879.60/2,014.92
  6. Step 6: Final answer
    x = 1,751.87

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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.