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Finding the Fourth Proportional to 2,645.17, 3,967.21 and 1,001.14

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Solution

The fourth proportional to 2,645.17, 3,967.21 and 1,001.14 is: 1,501.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.17 : 3,967.21 = 1,001.14 : x
  2. Step 2: Convert to fraction form
    2,645.17/3,967.21 = 1,001.14/x
  3. Step 3: Cross multiply
    2,645.17x = 3,967.21 × 1,001.14
  4. Step 4: Simplify right side
    2,645.17x = 3,971,732.62
  5. Step 5: Solve for x
    x = 3,971,732.62/2,645.17
  6. Step 6: Final answer
    x = 1,501.50

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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.