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Finding the Fourth Proportional to 2,349.12, 3,239.10 and 2,226

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Solution

The fourth proportional to 2,349.12, 3,239.10 and 2,226 is: 3,069.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349.12 : 3,239.10 = 2,226 : x
  2. Step 2: Convert to fraction form
    2,349.12/3,239.10 = 2,226/x
  3. Step 3: Cross multiply
    2,349.12x = 3,239.10 × 2,226
  4. Step 4: Simplify right side
    2,349.12x = 7,210,236.60
  5. Step 5: Solve for x
    x = 7,210,236.60/2,349.12
  6. Step 6: Final answer
    x = 3,069.34

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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.