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Finding the Fourth Proportional to 1,929.12, 2,892.94 and 696.22

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Solution

The fourth proportional to 1,929.12, 2,892.94 and 696.22 is: 1,044.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,929.12 : 2,892.94 = 696.22 : x
  2. Step 2: Convert to fraction form
    1,929.12/2,892.94 = 696.22/x
  3. Step 3: Cross multiply
    1,929.12x = 2,892.94 × 696.22
  4. Step 4: Simplify right side
    1,929.12x = 2,014,122.69
  5. Step 5: Solve for x
    x = 2,014,122.69/1,929.12
  6. Step 6: Final answer
    x = 1,044.06

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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.