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Finding the Fourth Proportional to 1,859.77, 2,787.09 and 1,079.29

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Solution

The fourth proportional to 1,859.77, 2,787.09 and 1,079.29 is: 1,617.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,859.77 : 2,787.09 = 1,079.29 : x
  2. Step 2: Convert to fraction form
    1,859.77/2,787.09 = 1,079.29/x
  3. Step 3: Cross multiply
    1,859.77x = 2,787.09 × 1,079.29
  4. Step 4: Simplify right side
    1,859.77x = 3,008,078.37
  5. Step 5: Solve for x
    x = 3,008,078.37/1,859.77
  6. Step 6: Final answer
    x = 1,617.45

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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.