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Finding the Fourth Proportional to 2,942.84, 4,414.26 and 1,483.22

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Solution

The fourth proportional to 2,942.84, 4,414.26 and 1,483.22 is: 2,224.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942.84 : 4,414.26 = 1,483.22 : x
  2. Step 2: Convert to fraction form
    2,942.84/4,414.26 = 1,483.22/x
  3. Step 3: Cross multiply
    2,942.84x = 4,414.26 × 1,483.22
  4. Step 4: Simplify right side
    2,942.84x = 6,547,318.72
  5. Step 5: Solve for x
    x = 6,547,318.72/2,942.84
  6. Step 6: Final answer
    x = 2,224.83

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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.