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Finding the Fourth Proportional to 2,685.89, 4,009.42 and 2,493.65

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Solution

The fourth proportional to 2,685.89, 4,009.42 and 2,493.65 is: 3,722.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685.89 : 4,009.42 = 2,493.65 : x
  2. Step 2: Convert to fraction form
    2,685.89/4,009.42 = 2,493.65/x
  3. Step 3: Cross multiply
    2,685.89x = 4,009.42 × 2,493.65
  4. Step 4: Simplify right side
    2,685.89x = 9,998,090.18
  5. Step 5: Solve for x
    x = 9,998,090.18/2,685.89
  6. Step 6: Final answer
    x = 3,722.45

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Why These Related Problems?

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