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Finding the Fourth Proportional to 2,523.09, 3,784.92 and 674.28

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Solution

The fourth proportional to 2,523.09, 3,784.92 and 674.28 is: 1,011.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.09 : 3,784.92 = 674.28 : x
  2. Step 2: Convert to fraction form
    2,523.09/3,784.92 = 674.28/x
  3. Step 3: Cross multiply
    2,523.09x = 3,784.92 × 674.28
  4. Step 4: Simplify right side
    2,523.09x = 2,552,095.86
  5. Step 5: Solve for x
    x = 2,552,095.86/2,523.09
  6. Step 6: Final answer
    x = 1,011.50

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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.