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Finding the Fourth Proportional to 1,859.36, 2,789.88 and 764.48

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Solution

The fourth proportional to 1,859.36, 2,789.88 and 764.48 is: 1,147.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,859.36 : 2,789.88 = 764.48 : x
  2. Step 2: Convert to fraction form
    1,859.36/2,789.88 = 764.48/x
  3. Step 3: Cross multiply
    1,859.36x = 2,789.88 × 764.48
  4. Step 4: Simplify right side
    1,859.36x = 2,132,807.46
  5. Step 5: Solve for x
    x = 2,132,807.46/1,859.36
  6. Step 6: Final answer
    x = 1,147.07

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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.