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Finding the Fourth Proportional to 2,009.75, 3,014.69 and 1,132.11

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Solution

The fourth proportional to 2,009.75, 3,014.69 and 1,132.11 is: 1,698.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.75 : 3,014.69 = 1,132.11 : x
  2. Step 2: Convert to fraction form
    2,009.75/3,014.69 = 1,132.11/x
  3. Step 3: Cross multiply
    2,009.75x = 3,014.69 × 1,132.11
  4. Step 4: Simplify right side
    2,009.75x = 3,412,955.04
  5. Step 5: Solve for x
    x = 3,412,955.04/2,009.75
  6. Step 6: Final answer
    x = 1,698.20

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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.