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Finding the Fourth Proportional to 1,889.08, 2,833.59 and 778.27

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Solution

The fourth proportional to 1,889.08, 2,833.59 and 778.27 is: 1,167.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,889.08 : 2,833.59 = 778.27 : x
  2. Step 2: Convert to fraction form
    1,889.08/2,833.59 = 778.27/x
  3. Step 3: Cross multiply
    1,889.08x = 2,833.59 × 778.27
  4. Step 4: Simplify right side
    1,889.08x = 2,205,298.09
  5. Step 5: Solve for x
    x = 2,205,298.09/1,889.08
  6. Step 6: Final answer
    x = 1,167.39

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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.