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Finding the Fourth Proportional to 1,844.91, 2,544.17 and 1,565.91

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Solution

The fourth proportional to 1,844.91, 2,544.17 and 1,565.91 is: 2,159.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,844.91 : 2,544.17 = 1,565.91 : x
  2. Step 2: Convert to fraction form
    1,844.91/2,544.17 = 1,565.91/x
  3. Step 3: Cross multiply
    1,844.91x = 2,544.17 × 1,565.91
  4. Step 4: Simplify right side
    1,844.91x = 3,983,933.42
  5. Step 5: Solve for x
    x = 3,983,933.42/1,844.91
  6. Step 6: Final answer
    x = 2,159.42

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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.