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Finding the Fourth Proportional to 1,616.90, 2,424.09 and 836.60

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Solution

The fourth proportional to 1,616.90, 2,424.09 and 836.60 is: 1,254.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.90 : 2,424.09 = 836.60 : x
  2. Step 2: Convert to fraction form
    1,616.90/2,424.09 = 836.60/x
  3. Step 3: Cross multiply
    1,616.90x = 2,424.09 × 836.60
  4. Step 4: Simplify right side
    1,616.90x = 2,027,993.69
  5. Step 5: Solve for x
    x = 2,027,993.69/1,616.90
  6. Step 6: Final answer
    x = 1,254.25

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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.