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Finding the Fourth Proportional to 1,960.04, 2,939.88 and 499.16

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Solution

The fourth proportional to 1,960.04, 2,939.88 and 499.16 is: 748.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,960.04 : 2,939.88 = 499.16 : x
  2. Step 2: Convert to fraction form
    1,960.04/2,939.88 = 499.16/x
  3. Step 3: Cross multiply
    1,960.04x = 2,939.88 × 499.16
  4. Step 4: Simplify right side
    1,960.04x = 1,467,470.50
  5. Step 5: Solve for x
    x = 1,467,470.50/1,960.04
  6. Step 6: Final answer
    x = 748.69

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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.