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Finding the Fourth Proportional to 1,616.94, 2,424.75 and 576.71

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Solution

The fourth proportional to 1,616.94, 2,424.75 and 576.71 is: 864.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.94 : 2,424.75 = 576.71 : x
  2. Step 2: Convert to fraction form
    1,616.94/2,424.75 = 576.71/x
  3. Step 3: Cross multiply
    1,616.94x = 2,424.75 × 576.71
  4. Step 4: Simplify right side
    1,616.94x = 1,398,365.45
  5. Step 5: Solve for x
    x = 1,398,365.45/1,616.94
  6. Step 6: Final answer
    x = 864.82

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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.