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Finding the Fourth Proportional to 2,709.60, 3,740.99 and 2,213.43

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Solution

The fourth proportional to 2,709.60, 3,740.99 and 2,213.43 is: 3,055.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.60 : 3,740.99 = 2,213.43 : x
  2. Step 2: Convert to fraction form
    2,709.60/3,740.99 = 2,213.43/x
  3. Step 3: Cross multiply
    2,709.60x = 3,740.99 × 2,213.43
  4. Step 4: Simplify right side
    2,709.60x = 8,280,408.43
  5. Step 5: Solve for x
    x = 8,280,408.43/2,709.60
  6. Step 6: Final answer
    x = 3,055.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.