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Finding the Fourth Proportional to 2,564.61, 3,847.50 and 833.23

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Solution

The fourth proportional to 2,564.61, 3,847.50 and 833.23 is: 1,250.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.61 : 3,847.50 = 833.23 : x
  2. Step 2: Convert to fraction form
    2,564.61/3,847.50 = 833.23/x
  3. Step 3: Cross multiply
    2,564.61x = 3,847.50 × 833.23
  4. Step 4: Simplify right side
    2,564.61x = 3,205,852.43
  5. Step 5: Solve for x
    x = 3,205,852.43/2,564.61
  6. Step 6: Final answer
    x = 1,250.04

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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.