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Finding the Fourth Proportional to 2,338.75, 3,502.36 and 1,814.39

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Solution

The fourth proportional to 2,338.75, 3,502.36 and 1,814.39 is: 2,717.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338.75 : 3,502.36 = 1,814.39 : x
  2. Step 2: Convert to fraction form
    2,338.75/3,502.36 = 1,814.39/x
  3. Step 3: Cross multiply
    2,338.75x = 3,502.36 × 1,814.39
  4. Step 4: Simplify right side
    2,338.75x = 6,354,646.96
  5. Step 5: Solve for x
    x = 6,354,646.96/2,338.75
  6. Step 6: Final answer
    x = 2,717.11

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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.