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Finding the Fourth Proportional to 2,747.86, 3,793.80 and 1,805.32

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Solution

The fourth proportional to 2,747.86, 3,793.80 and 1,805.32 is: 2,492.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747.86 : 3,793.80 = 1,805.32 : x
  2. Step 2: Convert to fraction form
    2,747.86/3,793.80 = 1,805.32/x
  3. Step 3: Cross multiply
    2,747.86x = 3,793.80 × 1,805.32
  4. Step 4: Simplify right side
    2,747.86x = 6,849,023.02
  5. Step 5: Solve for x
    x = 6,849,023.02/2,747.86
  6. Step 6: Final answer
    x = 2,492.49

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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.