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Finding the Fourth Proportional to 1,967.79, 2,951.69 and 506.83

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Solution

The fourth proportional to 1,967.79, 2,951.69 and 506.83 is: 760.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.79 : 2,951.69 = 506.83 : x
  2. Step 2: Convert to fraction form
    1,967.79/2,951.69 = 506.83/x
  3. Step 3: Cross multiply
    1,967.79x = 2,951.69 × 506.83
  4. Step 4: Simplify right side
    1,967.79x = 1,496,005.04
  5. Step 5: Solve for x
    x = 1,496,005.04/1,967.79
  6. Step 6: Final answer
    x = 760.25

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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.