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Finding the Fourth Proportional to 3,155.49, 4,733.78 and 964.04

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Solution

The fourth proportional to 3,155.49, 4,733.78 and 964.04 is: 1,446.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,155.49 : 4,733.78 = 964.04 : x
  2. Step 2: Convert to fraction form
    3,155.49/4,733.78 = 964.04/x
  3. Step 3: Cross multiply
    3,155.49x = 4,733.78 × 964.04
  4. Step 4: Simplify right side
    3,155.49x = 4,563,524.78
  5. Step 5: Solve for x
    x = 4,563,524.78/3,155.49
  6. Step 6: Final answer
    x = 1,446.22

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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.