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Finding the Fourth Proportional to 2,878.50, 4,319.22 and 1,234.60

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Solution

The fourth proportional to 2,878.50, 4,319.22 and 1,234.60 is: 1,852.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.50 : 4,319.22 = 1,234.60 : x
  2. Step 2: Convert to fraction form
    2,878.50/4,319.22 = 1,234.60/x
  3. Step 3: Cross multiply
    2,878.50x = 4,319.22 × 1,234.60
  4. Step 4: Simplify right side
    2,878.50x = 5,332,509.01
  5. Step 5: Solve for x
    x = 5,332,509.01/2,878.50
  6. Step 6: Final answer
    x = 1,852.53

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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.