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Finding the Fourth Proportional to 2,782, 4,167.33 and 1,608.58

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Solution

The fourth proportional to 2,782, 4,167.33 and 1,608.58 is: 2,409.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782 : 4,167.33 = 1,608.58 : x
  2. Step 2: Convert to fraction form
    2,782/4,167.33 = 1,608.58/x
  3. Step 3: Cross multiply
    2,782x = 4,167.33 × 1,608.58
  4. Step 4: Simplify right side
    2,782x = 6,703,483.69
  5. Step 5: Solve for x
    x = 6,703,483.69/2,782
  6. Step 6: Final answer
    x = 2,409.59

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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.