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Finding the Fourth Proportional to 1,616.02, 2,424.94 and 642.20

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Solution

The fourth proportional to 1,616.02, 2,424.94 and 642.20 is: 963.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.02 : 2,424.94 = 642.20 : x
  2. Step 2: Convert to fraction form
    1,616.02/2,424.94 = 642.20/x
  3. Step 3: Cross multiply
    1,616.02x = 2,424.94 × 642.20
  4. Step 4: Simplify right side
    1,616.02x = 1,557,282.74
  5. Step 5: Solve for x
    x = 1,557,282.74/1,616.02
  6. Step 6: Final answer
    x = 963.65

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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.