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Finding the Fourth Proportional to 2,984.70, 4,468.12 and 2,462.24

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Solution

The fourth proportional to 2,984.70, 4,468.12 and 2,462.24 is: 3,685.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.70 : 4,468.12 = 2,462.24 : x
  2. Step 2: Convert to fraction form
    2,984.70/4,468.12 = 2,462.24/x
  3. Step 3: Cross multiply
    2,984.70x = 4,468.12 × 2,462.24
  4. Step 4: Simplify right side
    2,984.70x = 11,001,583.79
  5. Step 5: Solve for x
    x = 11,001,583.79/2,984.70
  6. Step 6: Final answer
    x = 3,685.99

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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.