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Finding the Fourth Proportional to 2,908.47, 4,363.62 and 962.04

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Solution

The fourth proportional to 2,908.47, 4,363.62 and 962.04 is: 1,443.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,908.47 : 4,363.62 = 962.04 : x
  2. Step 2: Convert to fraction form
    2,908.47/4,363.62 = 962.04/x
  3. Step 3: Cross multiply
    2,908.47x = 4,363.62 × 962.04
  4. Step 4: Simplify right side
    2,908.47x = 4,197,976.98
  5. Step 5: Solve for x
    x = 4,197,976.98/2,908.47
  6. Step 6: Final answer
    x = 1,443.36

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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.