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Finding the Fourth Proportional to 2,294.68, 3,164.62 and 1,942.24

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Solution

The fourth proportional to 2,294.68, 3,164.62 and 1,942.24 is: 2,678.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.68 : 3,164.62 = 1,942.24 : x
  2. Step 2: Convert to fraction form
    2,294.68/3,164.62 = 1,942.24/x
  3. Step 3: Cross multiply
    2,294.68x = 3,164.62 × 1,942.24
  4. Step 4: Simplify right side
    2,294.68x = 6,146,451.55
  5. Step 5: Solve for x
    x = 6,146,451.55/2,294.68
  6. Step 6: Final answer
    x = 2,678.57

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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.