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Finding the Fourth Proportional to 1,901.03, 2,851.92 and 927.14

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Solution

The fourth proportional to 1,901.03, 2,851.92 and 927.14 is: 1,390.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,901.03 : 2,851.92 = 927.14 : x
  2. Step 2: Convert to fraction form
    1,901.03/2,851.92 = 927.14/x
  3. Step 3: Cross multiply
    1,901.03x = 2,851.92 × 927.14
  4. Step 4: Simplify right side
    1,901.03x = 2,644,114.85
  5. Step 5: Solve for x
    x = 2,644,114.85/1,901.03
  6. Step 6: Final answer
    x = 1,390.89

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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.