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Finding the Fourth Proportional to 2,009.47, 3,014.21 and 982.75

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Solution

The fourth proportional to 2,009.47, 3,014.21 and 982.75 is: 1,474.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.47 : 3,014.21 = 982.75 : x
  2. Step 2: Convert to fraction form
    2,009.47/3,014.21 = 982.75/x
  3. Step 3: Cross multiply
    2,009.47x = 3,014.21 × 982.75
  4. Step 4: Simplify right side
    2,009.47x = 2,962,209.96
  5. Step 5: Solve for x
    x = 2,962,209.96/2,009.47
  6. Step 6: Final answer
    x = 1,474.13

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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.