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Finding the Fourth Proportional to 2,287.49, 3,429.53 and 900.09

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Solution

The fourth proportional to 2,287.49, 3,429.53 and 900.09 is: 1,349.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.49 : 3,429.53 = 900.09 : x
  2. Step 2: Convert to fraction form
    2,287.49/3,429.53 = 900.09/x
  3. Step 3: Cross multiply
    2,287.49x = 3,429.53 × 900.09
  4. Step 4: Simplify right side
    2,287.49x = 3,086,881.16
  5. Step 5: Solve for x
    x = 3,086,881.16/2,287.49
  6. Step 6: Final answer
    x = 1,349.47

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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.