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Finding the Fourth Proportional to 2,297.44, 3,428.63 and 2,239.12

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Solution

The fourth proportional to 2,297.44, 3,428.63 and 2,239.12 is: 3,341.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.44 : 3,428.63 = 2,239.12 : x
  2. Step 2: Convert to fraction form
    2,297.44/3,428.63 = 2,239.12/x
  3. Step 3: Cross multiply
    2,297.44x = 3,428.63 × 2,239.12
  4. Step 4: Simplify right side
    2,297.44x = 7,677,114.01
  5. Step 5: Solve for x
    x = 7,677,114.01/2,297.44
  6. Step 6: Final answer
    x = 3,341.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.