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Finding the Fourth Proportional to 2,009.97, 3,014.01 and 1,188.36

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Solution

The fourth proportional to 2,009.97, 3,014.01 and 1,188.36 is: 1,781.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.97 : 3,014.01 = 1,188.36 : x
  2. Step 2: Convert to fraction form
    2,009.97/3,014.01 = 1,188.36/x
  3. Step 3: Cross multiply
    2,009.97x = 3,014.01 × 1,188.36
  4. Step 4: Simplify right side
    2,009.97x = 3,581,728.92
  5. Step 5: Solve for x
    x = 3,581,728.92/2,009.97
  6. Step 6: Final answer
    x = 1,781.98

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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.