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Finding the Fourth Proportional to 3,103.82, 4,651.16 and 2,320.14

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Solution

The fourth proportional to 3,103.82, 4,651.16 and 2,320.14 is: 3,476.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,103.82 : 4,651.16 = 2,320.14 : x
  2. Step 2: Convert to fraction form
    3,103.82/4,651.16 = 2,320.14/x
  3. Step 3: Cross multiply
    3,103.82x = 4,651.16 × 2,320.14
  4. Step 4: Simplify right side
    3,103.82x = 10,791,330.76
  5. Step 5: Solve for x
    x = 10,791,330.76/3,103.82
  6. Step 6: Final answer
    x = 3,476.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.