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Finding the Fourth Proportional to 3,145.30, 4,717.95 and 836.80

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Solution

The fourth proportional to 3,145.30, 4,717.95 and 836.80 is: 1,255.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145.30 : 4,717.95 = 836.80 : x
  2. Step 2: Convert to fraction form
    3,145.30/4,717.95 = 836.80/x
  3. Step 3: Cross multiply
    3,145.30x = 4,717.95 × 836.80
  4. Step 4: Simplify right side
    3,145.30x = 3,947,980.56
  5. Step 5: Solve for x
    x = 3,947,980.56/3,145.30
  6. Step 6: Final answer
    x = 1,255.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.