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Finding the Fourth Proportional to 1,616.56, 2,424.84 and 848.56

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Solution

The fourth proportional to 1,616.56, 2,424.84 and 848.56 is: 1,272.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.56 : 2,424.84 = 848.56 : x
  2. Step 2: Convert to fraction form
    1,616.56/2,424.84 = 848.56/x
  3. Step 3: Cross multiply
    1,616.56x = 2,424.84 × 848.56
  4. Step 4: Simplify right side
    1,616.56x = 2,057,622.23
  5. Step 5: Solve for x
    x = 2,057,622.23/1,616.56
  6. Step 6: Final answer
    x = 1,272.84

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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.