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Finding the Fourth Proportional to 1,856.39, 2,783.37 and 759.65

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Solution

The fourth proportional to 1,856.39, 2,783.37 and 759.65 is: 1,138.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.39 : 2,783.37 = 759.65 : x
  2. Step 2: Convert to fraction form
    1,856.39/2,783.37 = 759.65/x
  3. Step 3: Cross multiply
    1,856.39x = 2,783.37 × 759.65
  4. Step 4: Simplify right side
    1,856.39x = 2,114,387.02
  5. Step 5: Solve for x
    x = 2,114,387.02/1,856.39
  6. Step 6: Final answer
    x = 1,138.98

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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.