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Finding the Fourth Proportional to 3,155.54, 4,732.99 and 964.28

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Solution

The fourth proportional to 3,155.54, 4,732.99 and 964.28 is: 1,446.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,155.54 : 4,732.99 = 964.28 : x
  2. Step 2: Convert to fraction form
    3,155.54/4,732.99 = 964.28/x
  3. Step 3: Cross multiply
    3,155.54x = 4,732.99 × 964.28
  4. Step 4: Simplify right side
    3,155.54x = 4,563,937.02
  5. Step 5: Solve for x
    x = 4,563,937.02/3,155.54
  6. Step 6: Final answer
    x = 1,446.33

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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.