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Finding the Fourth Proportional to 2,009.44, 2,999.24 and 1,685.92

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Solution

The fourth proportional to 2,009.44, 2,999.24 and 1,685.92 is: 2,516.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.44 : 2,999.24 = 1,685.92 : x
  2. Step 2: Convert to fraction form
    2,009.44/2,999.24 = 1,685.92/x
  3. Step 3: Cross multiply
    2,009.44x = 2,999.24 × 1,685.92
  4. Step 4: Simplify right side
    2,009.44x = 5,056,478.70
  5. Step 5: Solve for x
    x = 5,056,478.70/2,009.44
  6. Step 6: Final answer
    x = 2,516.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.