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Finding the Fourth Proportional to 2,462.76, 3,690.95 and 1,000.21

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Solution

The fourth proportional to 2,462.76, 3,690.95 and 1,000.21 is: 1,499.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.76 : 3,690.95 = 1,000.21 : x
  2. Step 2: Convert to fraction form
    2,462.76/3,690.95 = 1,000.21/x
  3. Step 3: Cross multiply
    2,462.76x = 3,690.95 × 1,000.21
  4. Step 4: Simplify right side
    2,462.76x = 3,691,720.10
  5. Step 5: Solve for x
    x = 3,691,720.10/2,462.76
  6. Step 6: Final answer
    x = 1,499.02

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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.