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Finding the Fourth Proportional to 2,744.24, 3,786.98 and 1,565.24

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Solution

The fourth proportional to 2,744.24, 3,786.98 and 1,565.24 is: 2,159.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.24 : 3,786.98 = 1,565.24 : x
  2. Step 2: Convert to fraction form
    2,744.24/3,786.98 = 1,565.24/x
  3. Step 3: Cross multiply
    2,744.24x = 3,786.98 × 1,565.24
  4. Step 4: Simplify right side
    2,744.24x = 5,927,532.58
  5. Step 5: Solve for x
    x = 5,927,532.58/2,744.24
  6. Step 6: Final answer
    x = 2,159.99

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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.