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Finding the Fourth Proportional to 2,381.97, 3,566.97 and 1,444.41

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Solution

The fourth proportional to 2,381.97, 3,566.97 and 1,444.41 is: 2,162.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.97 : 3,566.97 = 1,444.41 : x
  2. Step 2: Convert to fraction form
    2,381.97/3,566.97 = 1,444.41/x
  3. Step 3: Cross multiply
    2,381.97x = 3,566.97 × 1,444.41
  4. Step 4: Simplify right side
    2,381.97x = 5,152,167.14
  5. Step 5: Solve for x
    x = 5,152,167.14/2,381.97
  6. Step 6: Final answer
    x = 2,162.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.