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Finding the Fourth Proportional to 4,822.92, 7,234.80 and 1,360.20

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Solution

The fourth proportional to 4,822.92, 7,234.80 and 1,360.20 is: 2,040.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,822.92 : 7,234.80 = 1,360.20 : x
  2. Step 2: Convert to fraction form
    4,822.92/7,234.80 = 1,360.20/x
  3. Step 3: Cross multiply
    4,822.92x = 7,234.80 × 1,360.20
  4. Step 4: Simplify right side
    4,822.92x = 9,840,774.96
  5. Step 5: Solve for x
    x = 9,840,774.96/4,822.92
  6. Step 6: Final answer
    x = 2,040.42

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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.