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Finding the Fourth Proportional to 3,132, 4,696.92 and 1,816.02

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Solution

The fourth proportional to 3,132, 4,696.92 and 1,816.02 is: 2,723.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,132 : 4,696.92 = 1,816.02 : x
  2. Step 2: Convert to fraction form
    3,132/4,696.92 = 1,816.02/x
  3. Step 3: Cross multiply
    3,132x = 4,696.92 × 1,816.02
  4. Step 4: Simplify right side
    3,132x = 8,529,700.66
  5. Step 5: Solve for x
    x = 8,529,700.66/3,132
  6. Step 6: Final answer
    x = 2,723.40

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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.