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Finding the Fourth Proportional to 1,879.92, 2,820.06 and 784.62

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Solution

The fourth proportional to 1,879.92, 2,820.06 and 784.62 is: 1,177.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,879.92 : 2,820.06 = 784.62 : x
  2. Step 2: Convert to fraction form
    1,879.92/2,820.06 = 784.62/x
  3. Step 3: Cross multiply
    1,879.92x = 2,820.06 × 784.62
  4. Step 4: Simplify right side
    1,879.92x = 2,212,675.48
  5. Step 5: Solve for x
    x = 2,212,675.48/1,879.92
  6. Step 6: Final answer
    x = 1,177.01

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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.