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Finding the Fourth Proportional to 1,616.56, 2,424.90 and 462.40

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Solution

The fourth proportional to 1,616.56, 2,424.90 and 462.40 is: 693.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.56 : 2,424.90 = 462.40 : x
  2. Step 2: Convert to fraction form
    1,616.56/2,424.90 = 462.40/x
  3. Step 3: Cross multiply
    1,616.56x = 2,424.90 × 462.40
  4. Step 4: Simplify right side
    1,616.56x = 1,121,273.76
  5. Step 5: Solve for x
    x = 1,121,273.76/1,616.56
  6. Step 6: Final answer
    x = 693.62

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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.