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Finding the Fourth Proportional to 2,699.24, 3,716.34 and 2,304.68

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Solution

The fourth proportional to 2,699.24, 3,716.34 and 2,304.68 is: 3,173.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699.24 : 3,716.34 = 2,304.68 : x
  2. Step 2: Convert to fraction form
    2,699.24/3,716.34 = 2,304.68/x
  3. Step 3: Cross multiply
    2,699.24x = 3,716.34 × 2,304.68
  4. Step 4: Simplify right side
    2,699.24x = 8,564,974.47
  5. Step 5: Solve for x
    x = 8,564,974.47/2,699.24
  6. Step 6: Final answer
    x = 3,173.11

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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.