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Finding the Fourth Proportional to 2,338.53, 3,501.40 and 2,276.56

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Solution

The fourth proportional to 2,338.53, 3,501.40 and 2,276.56 is: 3,408.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338.53 : 3,501.40 = 2,276.56 : x
  2. Step 2: Convert to fraction form
    2,338.53/3,501.40 = 2,276.56/x
  3. Step 3: Cross multiply
    2,338.53x = 3,501.40 × 2,276.56
  4. Step 4: Simplify right side
    2,338.53x = 7,971,147.18
  5. Step 5: Solve for x
    x = 7,971,147.18/2,338.53
  6. Step 6: Final answer
    x = 3,408.61

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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.