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Finding the Fourth Proportional to 2,009.93, 3,014.02 and 1,177.88

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Solution

The fourth proportional to 2,009.93, 3,014.02 and 1,177.88 is: 1,766.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.93 : 3,014.02 = 1,177.88 : x
  2. Step 2: Convert to fraction form
    2,009.93/3,014.02 = 1,177.88/x
  3. Step 3: Cross multiply
    2,009.93x = 3,014.02 × 1,177.88
  4. Step 4: Simplify right side
    2,009.93x = 3,550,153.88
  5. Step 5: Solve for x
    x = 3,550,153.88/2,009.93
  6. Step 6: Final answer
    x = 1,766.31

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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.