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Finding the Fourth Proportional to 3,176.25, 4,764.47 and 867.75

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Solution

The fourth proportional to 3,176.25, 4,764.47 and 867.75 is: 1,301.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,176.25 : 4,764.47 = 867.75 : x
  2. Step 2: Convert to fraction form
    3,176.25/4,764.47 = 867.75/x
  3. Step 3: Cross multiply
    3,176.25x = 4,764.47 × 867.75
  4. Step 4: Simplify right side
    3,176.25x = 4,134,364.50
  5. Step 5: Solve for x
    x = 4,134,364.50/3,176.25
  6. Step 6: Final answer
    x = 1,301.65

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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.