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Finding the Fourth Proportional to 4,942.99, 7,409.70 and 1,654.24

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Solution

The fourth proportional to 4,942.99, 7,409.70 and 1,654.24 is: 2,479.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,942.99 : 7,409.70 = 1,654.24 : x
  2. Step 2: Convert to fraction form
    4,942.99/7,409.70 = 1,654.24/x
  3. Step 3: Cross multiply
    4,942.99x = 7,409.70 × 1,654.24
  4. Step 4: Simplify right side
    4,942.99x = 12,257,422.13
  5. Step 5: Solve for x
    x = 12,257,422.13/4,942.99
  6. Step 6: Final answer
    x = 2,479.76

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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.