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Finding the Fourth Proportional to 2,287.07, 3,429.83 and 900.04

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Solution

The fourth proportional to 2,287.07, 3,429.83 and 900.04 is: 1,349.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.07 : 3,429.83 = 900.04 : x
  2. Step 2: Convert to fraction form
    2,287.07/3,429.83 = 900.04/x
  3. Step 3: Cross multiply
    2,287.07x = 3,429.83 × 900.04
  4. Step 4: Simplify right side
    2,287.07x = 3,086,974.49
  5. Step 5: Solve for x
    x = 3,086,974.49/2,287.07
  6. Step 6: Final answer
    x = 1,349.75

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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.