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Finding the Fourth Proportional to 2,814.60, 4,213.80 and 2,490.60

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Solution

The fourth proportional to 2,814.60, 4,213.80 and 2,490.60 is: 3,728.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.60 : 4,213.80 = 2,490.60 : x
  2. Step 2: Convert to fraction form
    2,814.60/4,213.80 = 2,490.60/x
  3. Step 3: Cross multiply
    2,814.60x = 4,213.80 × 2,490.60
  4. Step 4: Simplify right side
    2,814.60x = 10,494,890.28
  5. Step 5: Solve for x
    x = 10,494,890.28/2,814.60
  6. Step 6: Final answer
    x = 3,728.73

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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.