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Finding the Fourth Proportional to 1,616.34, 2,424.33 and 462

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Solution

The fourth proportional to 1,616.34, 2,424.33 and 462 is: 692.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.34 : 2,424.33 = 462 : x
  2. Step 2: Convert to fraction form
    1,616.34/2,424.33 = 462/x
  3. Step 3: Cross multiply
    1,616.34x = 2,424.33 × 462
  4. Step 4: Simplify right side
    1,616.34x = 1,120,040.46
  5. Step 5: Solve for x
    x = 1,120,040.46/1,616.34
  6. Step 6: Final answer
    x = 692.95

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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.