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Finding the Fourth Proportional to 1,930.21, 2,892.85 and 833.47

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Solution

The fourth proportional to 1,930.21, 2,892.85 and 833.47 is: 1,249.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930.21 : 2,892.85 = 833.47 : x
  2. Step 2: Convert to fraction form
    1,930.21/2,892.85 = 833.47/x
  3. Step 3: Cross multiply
    1,930.21x = 2,892.85 × 833.47
  4. Step 4: Simplify right side
    1,930.21x = 2,411,094.37
  5. Step 5: Solve for x
    x = 2,411,094.37/1,930.21
  6. Step 6: Final answer
    x = 1,249.14

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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.