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Finding the Fourth Proportional to 2,131.48, 3,215.23 and 2,019.44

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Solution

The fourth proportional to 2,131.48, 3,215.23 and 2,019.44 is: 3,046.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.48 : 3,215.23 = 2,019.44 : x
  2. Step 2: Convert to fraction form
    2,131.48/3,215.23 = 2,019.44/x
  3. Step 3: Cross multiply
    2,131.48x = 3,215.23 × 2,019.44
  4. Step 4: Simplify right side
    2,131.48x = 6,492,964.07
  5. Step 5: Solve for x
    x = 6,492,964.07/2,131.48
  6. Step 6: Final answer
    x = 3,046.22

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.