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Finding the Fourth Proportional to 1,616.59, 2,230.23 and 1,026.91

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Solution

The fourth proportional to 1,616.59, 2,230.23 and 1,026.91 is: 1,416.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.59 : 2,230.23 = 1,026.91 : x
  2. Step 2: Convert to fraction form
    1,616.59/2,230.23 = 1,026.91/x
  3. Step 3: Cross multiply
    1,616.59x = 2,230.23 × 1,026.91
  4. Step 4: Simplify right side
    1,616.59x = 2,290,245.49
  5. Step 5: Solve for x
    x = 2,290,245.49/1,616.59
  6. Step 6: Final answer
    x = 1,416.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.