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Finding the Fourth Proportional to 1,621.03, 2,431.83 and 671.18

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Solution

The fourth proportional to 1,621.03, 2,431.83 and 671.18 is: 1,006.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,621.03 : 2,431.83 = 671.18 : x
  2. Step 2: Convert to fraction form
    1,621.03/2,431.83 = 671.18/x
  3. Step 3: Cross multiply
    1,621.03x = 2,431.83 × 671.18
  4. Step 4: Simplify right side
    1,621.03x = 1,632,195.66
  5. Step 5: Solve for x
    x = 1,632,195.66/1,621.03
  6. Step 6: Final answer
    x = 1,006.89

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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.