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Finding the Fourth Proportional to 2,808.79, 4,213.53 and 1,164.44

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Solution

The fourth proportional to 2,808.79, 4,213.53 and 1,164.44 is: 1,746.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,808.79 : 4,213.53 = 1,164.44 : x
  2. Step 2: Convert to fraction form
    2,808.79/4,213.53 = 1,164.44/x
  3. Step 3: Cross multiply
    2,808.79x = 4,213.53 × 1,164.44
  4. Step 4: Simplify right side
    2,808.79x = 4,906,402.87
  5. Step 5: Solve for x
    x = 4,906,402.87/2,808.79
  6. Step 6: Final answer
    x = 1,746.80

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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.