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Finding the Fourth Proportional to 2,793.64, 3,853.12 and 1,847.76

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Solution

The fourth proportional to 2,793.64, 3,853.12 and 1,847.76 is: 2,548.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,793.64 : 3,853.12 = 1,847.76 : x
  2. Step 2: Convert to fraction form
    2,793.64/3,853.12 = 1,847.76/x
  3. Step 3: Cross multiply
    2,793.64x = 3,853.12 × 1,847.76
  4. Step 4: Simplify right side
    2,793.64x = 7,119,641.01
  5. Step 5: Solve for x
    x = 7,119,641.01/2,793.64
  6. Step 6: Final answer
    x = 2,548.52

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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.