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Finding the Fourth Proportional to 4,697.84, 7,042.16 and 1,922.78

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Solution

The fourth proportional to 4,697.84, 7,042.16 and 1,922.78 is: 2,882.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,697.84 : 7,042.16 = 1,922.78 : x
  2. Step 2: Convert to fraction form
    4,697.84/7,042.16 = 1,922.78/x
  3. Step 3: Cross multiply
    4,697.84x = 7,042.16 × 1,922.78
  4. Step 4: Simplify right side
    4,697.84x = 13,540,524.40
  5. Step 5: Solve for x
    x = 13,540,524.40/4,697.84
  6. Step 6: Final answer
    x = 2,882.29

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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.