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Finding the Fourth Proportional to 1,934.52, 2,900.83 and 1,349.81

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Solution

The fourth proportional to 1,934.52, 2,900.83 and 1,349.81 is: 2,024.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,934.52 : 2,900.83 = 1,349.81 : x
  2. Step 2: Convert to fraction form
    1,934.52/2,900.83 = 1,349.81/x
  3. Step 3: Cross multiply
    1,934.52x = 2,900.83 × 1,349.81
  4. Step 4: Simplify right side
    1,934.52x = 3,915,548.09
  5. Step 5: Solve for x
    x = 3,915,548.09/1,934.52
  6. Step 6: Final answer
    x = 2,024.04

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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.