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Finding the Fourth Proportional to 2,467.88, 3,701.97 and 1,007

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Solution

The fourth proportional to 2,467.88, 3,701.97 and 1,007 is: 1,510.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.88 : 3,701.97 = 1,007 : x
  2. Step 2: Convert to fraction form
    2,467.88/3,701.97 = 1,007/x
  3. Step 3: Cross multiply
    2,467.88x = 3,701.97 × 1,007
  4. Step 4: Simplify right side
    2,467.88x = 3,727,883.79
  5. Step 5: Solve for x
    x = 3,727,883.79/2,467.88
  6. Step 6: Final answer
    x = 1,510.56

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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.