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Finding the Fourth Proportional to 2,685.48, 3,707.69 and 2,189.31

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Solution

The fourth proportional to 2,685.48, 3,707.69 and 2,189.31 is: 3,022.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685.48 : 3,707.69 = 2,189.31 : x
  2. Step 2: Convert to fraction form
    2,685.48/3,707.69 = 2,189.31/x
  3. Step 3: Cross multiply
    2,685.48x = 3,707.69 × 2,189.31
  4. Step 4: Simplify right side
    2,685.48x = 8,117,271.85
  5. Step 5: Solve for x
    x = 8,117,271.85/2,685.48
  6. Step 6: Final answer
    x = 3,022.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.