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Finding the Fourth Proportional to 2,468.24, 3,703.24 and 1,007.80

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Solution

The fourth proportional to 2,468.24, 3,703.24 and 1,007.80 is: 1,512.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.24 : 3,703.24 = 1,007.80 : x
  2. Step 2: Convert to fraction form
    2,468.24/3,703.24 = 1,007.80/x
  3. Step 3: Cross multiply
    2,468.24x = 3,703.24 × 1,007.80
  4. Step 4: Simplify right side
    2,468.24x = 3,732,125.27
  5. Step 5: Solve for x
    x = 3,732,125.27/2,468.24
  6. Step 6: Final answer
    x = 1,512.06

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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.