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Finding the Fourth Proportional to 2,364.08, 3,255 and 2,009.24

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Solution

The fourth proportional to 2,364.08, 3,255 and 2,009.24 is: 2,766.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.08 : 3,255 = 2,009.24 : x
  2. Step 2: Convert to fraction form
    2,364.08/3,255 = 2,009.24/x
  3. Step 3: Cross multiply
    2,364.08x = 3,255 × 2,009.24
  4. Step 4: Simplify right side
    2,364.08x = 6,540,076.20
  5. Step 5: Solve for x
    x = 6,540,076.20/2,364.08
  6. Step 6: Final answer
    x = 2,766.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.