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Finding the Fourth Proportional to 2,447.92, 3,670.62 and 986.68

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Solution

The fourth proportional to 2,447.92, 3,670.62 and 986.68 is: 1,479.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.92 : 3,670.62 = 986.68 : x
  2. Step 2: Convert to fraction form
    2,447.92/3,670.62 = 986.68/x
  3. Step 3: Cross multiply
    2,447.92x = 3,670.62 × 986.68
  4. Step 4: Simplify right side
    2,447.92x = 3,621,727.34
  5. Step 5: Solve for x
    x = 3,621,727.34/2,447.92
  6. Step 6: Final answer
    x = 1,479.51

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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.