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Finding the Fourth Proportional to 3,153.82, 4,730.74 and 962.54

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Solution

The fourth proportional to 3,153.82, 4,730.74 and 962.54 is: 1,443.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153.82 : 4,730.74 = 962.54 : x
  2. Step 2: Convert to fraction form
    3,153.82/4,730.74 = 962.54/x
  3. Step 3: Cross multiply
    3,153.82x = 4,730.74 × 962.54
  4. Step 4: Simplify right side
    3,153.82x = 4,553,526.48
  5. Step 5: Solve for x
    x = 4,553,526.48/3,153.82
  6. Step 6: Final answer
    x = 1,443.81

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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.