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Finding the Fourth Proportional to 2,523.28, 3,784.93 and 674.40

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Solution

The fourth proportional to 2,523.28, 3,784.93 and 674.40 is: 1,011.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.28 : 3,784.93 = 674.40 : x
  2. Step 2: Convert to fraction form
    2,523.28/3,784.93 = 674.40/x
  3. Step 3: Cross multiply
    2,523.28x = 3,784.93 × 674.40
  4. Step 4: Simplify right side
    2,523.28x = 2,552,556.79
  5. Step 5: Solve for x
    x = 2,552,556.79/2,523.28
  6. Step 6: Final answer
    x = 1,011.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.