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Finding the Fourth Proportional to 2,349.52, 3,523.56 and 889.36

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Solution

The fourth proportional to 2,349.52, 3,523.56 and 889.36 is: 1,333.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349.52 : 3,523.56 = 889.36 : x
  2. Step 2: Convert to fraction form
    2,349.52/3,523.56 = 889.36/x
  3. Step 3: Cross multiply
    2,349.52x = 3,523.56 × 889.36
  4. Step 4: Simplify right side
    2,349.52x = 3,133,713.32
  5. Step 5: Solve for x
    x = 3,133,713.32/2,349.52
  6. Step 6: Final answer
    x = 1,333.77

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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.