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Finding the Fourth Proportional to 4,442.94, 6,657.11 and 1,519.65

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Solution

The fourth proportional to 4,442.94, 6,657.11 and 1,519.65 is: 2,276.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,442.94 : 6,657.11 = 1,519.65 : x
  2. Step 2: Convert to fraction form
    4,442.94/6,657.11 = 1,519.65/x
  3. Step 3: Cross multiply
    4,442.94x = 6,657.11 × 1,519.65
  4. Step 4: Simplify right side
    4,442.94x = 10,116,481.01
  5. Step 5: Solve for x
    x = 10,116,481.01/4,442.94
  6. Step 6: Final answer
    x = 2,276.98

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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.