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Finding the Fourth Proportional to 2,699.48, 3,715.92 and 2,327.69

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Solution

The fourth proportional to 2,699.48, 3,715.92 and 2,327.69 is: 3,204.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699.48 : 3,715.92 = 2,327.69 : x
  2. Step 2: Convert to fraction form
    2,699.48/3,715.92 = 2,327.69/x
  3. Step 3: Cross multiply
    2,699.48x = 3,715.92 × 2,327.69
  4. Step 4: Simplify right side
    2,699.48x = 8,649,491.25
  5. Step 5: Solve for x
    x = 8,649,491.25/2,699.48
  6. Step 6: Final answer
    x = 3,204.14

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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.