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Finding the Fourth Proportional to 2,523.06, 3,784.86 and 674.19

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Solution

The fourth proportional to 2,523.06, 3,784.86 and 674.19 is: 1,011.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.06 : 3,784.86 = 674.19 : x
  2. Step 2: Convert to fraction form
    2,523.06/3,784.86 = 674.19/x
  3. Step 3: Cross multiply
    2,523.06x = 3,784.86 × 674.19
  4. Step 4: Simplify right side
    2,523.06x = 2,551,714.76
  5. Step 5: Solve for x
    x = 2,551,714.76/2,523.06
  6. Step 6: Final answer
    x = 1,011.36

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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.