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Finding the Fourth Proportional to 4,828.65, 7,243.53 and 1,540.98

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Solution

The fourth proportional to 4,828.65, 7,243.53 and 1,540.98 is: 2,311.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,828.65 : 7,243.53 = 1,540.98 : x
  2. Step 2: Convert to fraction form
    4,828.65/7,243.53 = 1,540.98/x
  3. Step 3: Cross multiply
    4,828.65x = 7,243.53 × 1,540.98
  4. Step 4: Simplify right side
    4,828.65x = 11,162,134.86
  5. Step 5: Solve for x
    x = 11,162,134.86/4,828.65
  6. Step 6: Final answer
    x = 2,311.65

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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.