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Finding the Fourth Proportional to 1,214.92, 1,819.50 and 921.16

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Solution

The fourth proportional to 1,214.92, 1,819.50 and 921.16 is: 1,379.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.92 : 1,819.50 = 921.16 : x
  2. Step 2: Convert to fraction form
    1,214.92/1,819.50 = 921.16/x
  3. Step 3: Cross multiply
    1,214.92x = 1,819.50 × 921.16
  4. Step 4: Simplify right side
    1,214.92x = 1,676,050.62
  5. Step 5: Solve for x
    x = 1,676,050.62/1,214.92
  6. Step 6: Final answer
    x = 1,379.56

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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.