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Finding the Fourth Proportional to 1,616.24, 2,424.96 and 967.43

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Solution

The fourth proportional to 1,616.24, 2,424.96 and 967.43 is: 1,451.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.24 : 2,424.96 = 967.43 : x
  2. Step 2: Convert to fraction form
    1,616.24/2,424.96 = 967.43/x
  3. Step 3: Cross multiply
    1,616.24x = 2,424.96 × 967.43
  4. Step 4: Simplify right side
    1,616.24x = 2,345,966.93
  5. Step 5: Solve for x
    x = 2,345,966.93/1,616.24
  6. Step 6: Final answer
    x = 1,451.50

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1.5x scale

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.