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Finding the Fourth Proportional to 1,859.72, 2,789.58 and 832.52

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Solution

The fourth proportional to 1,859.72, 2,789.58 and 832.52 is: 1,248.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,859.72 : 2,789.58 = 832.52 : x
  2. Step 2: Convert to fraction form
    1,859.72/2,789.58 = 832.52/x
  3. Step 3: Cross multiply
    1,859.72x = 2,789.58 × 832.52
  4. Step 4: Simplify right side
    1,859.72x = 2,322,381.14
  5. Step 5: Solve for x
    x = 2,322,381.14/1,859.72
  6. Step 6: Final answer
    x = 1,248.78

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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.