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Finding the Fourth Proportional to 2,349.88, 3,234.65 and 2,069.22

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Solution

The fourth proportional to 2,349.88, 3,234.65 and 2,069.22 is: 2,848.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349.88 : 3,234.65 = 2,069.22 : x
  2. Step 2: Convert to fraction form
    2,349.88/3,234.65 = 2,069.22/x
  3. Step 3: Cross multiply
    2,349.88x = 3,234.65 × 2,069.22
  4. Step 4: Simplify right side
    2,349.88x = 6,693,191.47
  5. Step 5: Solve for x
    x = 6,693,191.47/2,349.88
  6. Step 6: Final answer
    x = 2,848.31

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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.