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Finding the Fourth Proportional to 2,822.68, 4,233.64 and 742.84

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Solution

The fourth proportional to 2,822.68, 4,233.64 and 742.84 is: 1,114.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.68 : 4,233.64 = 742.84 : x
  2. Step 2: Convert to fraction form
    2,822.68/4,233.64 = 742.84/x
  3. Step 3: Cross multiply
    2,822.68x = 4,233.64 × 742.84
  4. Step 4: Simplify right side
    2,822.68x = 3,144,917.14
  5. Step 5: Solve for x
    x = 3,144,917.14/2,822.68
  6. Step 6: Final answer
    x = 1,114.16

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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.