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Finding the Fourth Proportional to 1,833.69, 2,748.03 and 778.62

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Solution

The fourth proportional to 1,833.69, 2,748.03 and 778.62 is: 1,166.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833.69 : 2,748.03 = 778.62 : x
  2. Step 2: Convert to fraction form
    1,833.69/2,748.03 = 778.62/x
  3. Step 3: Cross multiply
    1,833.69x = 2,748.03 × 778.62
  4. Step 4: Simplify right side
    1,833.69x = 2,139,671.12
  5. Step 5: Solve for x
    x = 2,139,671.12/1,833.69
  6. Step 6: Final answer
    x = 1,166.87

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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.