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Finding the Fourth Proportional to 1,934.01, 2,902.02 and 1,057.14

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Solution

The fourth proportional to 1,934.01, 2,902.02 and 1,057.14 is: 1,586.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,934.01 : 2,902.02 = 1,057.14 : x
  2. Step 2: Convert to fraction form
    1,934.01/2,902.02 = 1,057.14/x
  3. Step 3: Cross multiply
    1,934.01x = 2,902.02 × 1,057.14
  4. Step 4: Simplify right side
    1,934.01x = 3,067,841.42
  5. Step 5: Solve for x
    x = 3,067,841.42/1,934.01
  6. Step 6: Final answer
    x = 1,586.26

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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.