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Finding the Fourth Proportional to 1,224.87, 1,835.10 and 1,031.09

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Solution

The fourth proportional to 1,224.87, 1,835.10 and 1,031.09 is: 1,544.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.87 : 1,835.10 = 1,031.09 : x
  2. Step 2: Convert to fraction form
    1,224.87/1,835.10 = 1,031.09/x
  3. Step 3: Cross multiply
    1,224.87x = 1,835.10 × 1,031.09
  4. Step 4: Simplify right side
    1,224.87x = 1,892,144.08
  5. Step 5: Solve for x
    x = 1,892,144.08/1,224.87
  6. Step 6: Final answer
    x = 1,544.77

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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.