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Finding the Fourth Proportional to 1,930.32, 2,894.94 and 834.57

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Solution

The fourth proportional to 1,930.32, 2,894.94 and 834.57 is: 1,251.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930.32 : 2,894.94 = 834.57 : x
  2. Step 2: Convert to fraction form
    1,930.32/2,894.94 = 834.57/x
  3. Step 3: Cross multiply
    1,930.32x = 2,894.94 × 834.57
  4. Step 4: Simplify right side
    1,930.32x = 2,416,030.08
  5. Step 5: Solve for x
    x = 2,416,030.08/1,930.32
  6. Step 6: Final answer
    x = 1,251.62

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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.