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Finding the Fourth Proportional to 1,856.86, 2,786.33 and 762.01

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Solution

The fourth proportional to 1,856.86, 2,786.33 and 762.01 is: 1,143.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.86 : 2,786.33 = 762.01 : x
  2. Step 2: Convert to fraction form
    1,856.86/2,786.33 = 762.01/x
  3. Step 3: Cross multiply
    1,856.86x = 2,786.33 × 762.01
  4. Step 4: Simplify right side
    1,856.86x = 2,123,206.26
  5. Step 5: Solve for x
    x = 2,123,206.26/1,856.86
  6. Step 6: Final answer
    x = 1,143.44

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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.