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Finding the Fourth Proportional to 1,616.26, 2,230.35 and 943.99

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Solution

The fourth proportional to 1,616.26, 2,230.35 and 943.99 is: 1,302.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.26 : 2,230.35 = 943.99 : x
  2. Step 2: Convert to fraction form
    1,616.26/2,230.35 = 943.99/x
  3. Step 3: Cross multiply
    1,616.26x = 2,230.35 × 943.99
  4. Step 4: Simplify right side
    1,616.26x = 2,105,420.31
  5. Step 5: Solve for x
    x = 2,105,420.31/1,616.26
  6. Step 6: Final answer
    x = 1,302.65

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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.