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Finding the Fourth Proportional to 3,095.50, 4,640.90 and 1,245.20

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Solution

The fourth proportional to 3,095.50, 4,640.90 and 1,245.20 is: 1,866.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,095.50 : 4,640.90 = 1,245.20 : x
  2. Step 2: Convert to fraction form
    3,095.50/4,640.90 = 1,245.20/x
  3. Step 3: Cross multiply
    3,095.50x = 4,640.90 × 1,245.20
  4. Step 4: Simplify right side
    3,095.50x = 5,778,848.68
  5. Step 5: Solve for x
    x = 5,778,848.68/3,095.50
  6. Step 6: Final answer
    x = 1,866.85

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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.