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Finding the Fourth Proportional to 2,462.83, 3,694.85 and 731.45

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Solution

The fourth proportional to 2,462.83, 3,694.85 and 731.45 is: 1,097.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.83 : 3,694.85 = 731.45 : x
  2. Step 2: Convert to fraction form
    2,462.83/3,694.85 = 731.45/x
  3. Step 3: Cross multiply
    2,462.83x = 3,694.85 × 731.45
  4. Step 4: Simplify right side
    2,462.83x = 2,702,598.03
  5. Step 5: Solve for x
    x = 2,702,598.03/2,462.83
  6. Step 6: Final answer
    x = 1,097.35

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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.