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Finding the Fourth Proportional to 2,369.43, 3,270.48 and 2,143.98

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Solution

The fourth proportional to 2,369.43, 3,270.48 and 2,143.98 is: 2,959.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369.43 : 3,270.48 = 2,143.98 : x
  2. Step 2: Convert to fraction form
    2,369.43/3,270.48 = 2,143.98/x
  3. Step 3: Cross multiply
    2,369.43x = 3,270.48 × 2,143.98
  4. Step 4: Simplify right side
    2,369.43x = 7,011,843.71
  5. Step 5: Solve for x
    x = 7,011,843.71/2,369.43
  6. Step 6: Final answer
    x = 2,959.30

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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.