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Finding the Fourth Proportional to 2,886.50, 4,330.47 and 834.50

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Solution

The fourth proportional to 2,886.50, 4,330.47 and 834.50 is: 1,251.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.50 : 4,330.47 = 834.50 : x
  2. Step 2: Convert to fraction form
    2,886.50/4,330.47 = 834.50/x
  3. Step 3: Cross multiply
    2,886.50x = 4,330.47 × 834.50
  4. Step 4: Simplify right side
    2,886.50x = 3,613,777.22
  5. Step 5: Solve for x
    x = 3,613,777.22/2,886.50
  6. Step 6: Final answer
    x = 1,251.96

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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.