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Finding the Fourth Proportional to 3,155.65, 4,733.48 and 964.37

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Solution

The fourth proportional to 3,155.65, 4,733.48 and 964.37 is: 1,446.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,155.65 : 4,733.48 = 964.37 : x
  2. Step 2: Convert to fraction form
    3,155.65/4,733.48 = 964.37/x
  3. Step 3: Cross multiply
    3,155.65x = 4,733.48 × 964.37
  4. Step 4: Simplify right side
    3,155.65x = 4,564,821.45
  5. Step 5: Solve for x
    x = 4,564,821.45/3,155.65
  6. Step 6: Final answer
    x = 1,446.56

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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.