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Finding the Fourth Proportional to 2,365.68, 3,262.96 and 2,009.14

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Solution

The fourth proportional to 2,365.68, 3,262.96 and 2,009.14 is: 2,771.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.68 : 3,262.96 = 2,009.14 : x
  2. Step 2: Convert to fraction form
    2,365.68/3,262.96 = 2,009.14/x
  3. Step 3: Cross multiply
    2,365.68x = 3,262.96 × 2,009.14
  4. Step 4: Simplify right side
    2,365.68x = 6,555,743.45
  5. Step 5: Solve for x
    x = 6,555,743.45/2,365.68
  6. Step 6: Final answer
    x = 2,771.19

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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.