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Finding the Fourth Proportional to 2,643.17, 3,964.21 and 999.14

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Solution

The fourth proportional to 2,643.17, 3,964.21 and 999.14 is: 1,498.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.17 : 3,964.21 = 999.14 : x
  2. Step 2: Convert to fraction form
    2,643.17/3,964.21 = 999.14/x
  3. Step 3: Cross multiply
    2,643.17x = 3,964.21 × 999.14
  4. Step 4: Simplify right side
    2,643.17x = 3,960,778.46
  5. Step 5: Solve for x
    x = 3,960,778.46/2,643.17
  6. Step 6: Final answer
    x = 1,498.50

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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.