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Finding the Fourth Proportional to 2,849.60, 4,274.40 and 2,523.20

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Solution

The fourth proportional to 2,849.60, 4,274.40 and 2,523.20 is: 3,784.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,849.60 : 4,274.40 = 2,523.20 : x
  2. Step 2: Convert to fraction form
    2,849.60/4,274.40 = 2,523.20/x
  3. Step 3: Cross multiply
    2,849.60x = 4,274.40 × 2,523.20
  4. Step 4: Simplify right side
    2,849.60x = 10,785,166.08
  5. Step 5: Solve for x
    x = 10,785,166.08/2,849.60
  6. Step 6: Final answer
    x = 3,784.80

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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.