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Finding the Fourth Proportional to 3,152.54, 4,726.74 and 1,766.04

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Solution

The fourth proportional to 3,152.54, 4,726.74 and 1,766.04 is: 2,647.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.54 : 4,726.74 = 1,766.04 : x
  2. Step 2: Convert to fraction form
    3,152.54/4,726.74 = 1,766.04/x
  3. Step 3: Cross multiply
    3,152.54x = 4,726.74 × 1,766.04
  4. Step 4: Simplify right side
    3,152.54x = 8,347,611.91
  5. Step 5: Solve for x
    x = 8,347,611.91/3,152.54
  6. Step 6: Final answer
    x = 2,647.90

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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.