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Finding the Fourth Proportional to 2,234.94, 3,349.71 and 1,614.35

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Solution

The fourth proportional to 2,234.94, 3,349.71 and 1,614.35 is: 2,419.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234.94 : 3,349.71 = 1,614.35 : x
  2. Step 2: Convert to fraction form
    2,234.94/3,349.71 = 1,614.35/x
  3. Step 3: Cross multiply
    2,234.94x = 3,349.71 × 1,614.35
  4. Step 4: Simplify right side
    2,234.94x = 5,407,587.59
  5. Step 5: Solve for x
    x = 5,407,587.59/2,234.94
  6. Step 6: Final answer
    x = 2,419.57

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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.