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Finding the Fourth Proportional to 1,616.19, 2,424.30 and 642.97

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Solution

The fourth proportional to 1,616.19, 2,424.30 and 642.97 is: 964.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.19 : 2,424.30 = 642.97 : x
  2. Step 2: Convert to fraction form
    1,616.19/2,424.30 = 642.97/x
  3. Step 3: Cross multiply
    1,616.19x = 2,424.30 × 642.97
  4. Step 4: Simplify right side
    1,616.19x = 1,558,752.79
  5. Step 5: Solve for x
    x = 1,558,752.79/1,616.19
  6. Step 6: Final answer
    x = 964.46

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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.