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Finding the Fourth Proportional to 1,766.08, 2,650.46 and 1,209.46

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Solution

The fourth proportional to 1,766.08, 2,650.46 and 1,209.46 is: 1,815.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766.08 : 2,650.46 = 1,209.46 : x
  2. Step 2: Convert to fraction form
    1,766.08/2,650.46 = 1,209.46/x
  3. Step 3: Cross multiply
    1,766.08x = 2,650.46 × 1,209.46
  4. Step 4: Simplify right side
    1,766.08x = 3,205,625.35
  5. Step 5: Solve for x
    x = 3,205,625.35/1,766.08
  6. Step 6: Final answer
    x = 1,815.11

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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.