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Finding the Fourth Proportional to 2,462.68, 3,694.02 and 731.40

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Solution

The fourth proportional to 2,462.68, 3,694.02 and 731.40 is: 1,097.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.68 : 3,694.02 = 731.40 : x
  2. Step 2: Convert to fraction form
    2,462.68/3,694.02 = 731.40/x
  3. Step 3: Cross multiply
    2,462.68x = 3,694.02 × 731.40
  4. Step 4: Simplify right side
    2,462.68x = 2,701,806.23
  5. Step 5: Solve for x
    x = 2,701,806.23/2,462.68
  6. Step 6: Final answer
    x = 1,097.10

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1.5x scale

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.