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Finding the Fourth Proportional to 2,874.50, 4,313.22 and 1,230.60

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Solution

The fourth proportional to 2,874.50, 4,313.22 and 1,230.60 is: 1,846.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.50 : 4,313.22 = 1,230.60 : x
  2. Step 2: Convert to fraction form
    2,874.50/4,313.22 = 1,230.60/x
  3. Step 3: Cross multiply
    2,874.50x = 4,313.22 × 1,230.60
  4. Step 4: Simplify right side
    2,874.50x = 5,307,848.53
  5. Step 5: Solve for x
    x = 5,307,848.53/2,874.50
  6. Step 6: Final answer
    x = 1,846.53

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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.