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Finding the Fourth Proportional to 2,744.93, 3,788.18 and 1,565.99

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Solution

The fourth proportional to 2,744.93, 3,788.18 and 1,565.99 is: 2,161.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.93 : 3,788.18 = 1,565.99 : x
  2. Step 2: Convert to fraction form
    2,744.93/3,788.18 = 1,565.99/x
  3. Step 3: Cross multiply
    2,744.93x = 3,788.18 × 1,565.99
  4. Step 4: Simplify right side
    2,744.93x = 5,932,225.23
  5. Step 5: Solve for x
    x = 5,932,225.23/2,744.93
  6. Step 6: Final answer
    x = 2,161.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.