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Finding the Fourth Proportional to 1,592.93, 2,198.23 and 884.78

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Solution

The fourth proportional to 1,592.93, 2,198.23 and 884.78 is: 1,220.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592.93 : 2,198.23 = 884.78 : x
  2. Step 2: Convert to fraction form
    1,592.93/2,198.23 = 884.78/x
  3. Step 3: Cross multiply
    1,592.93x = 2,198.23 × 884.78
  4. Step 4: Simplify right side
    1,592.93x = 1,944,944.98
  5. Step 5: Solve for x
    x = 1,944,944.98/1,592.93
  6. Step 6: Final answer
    x = 1,220.98

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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.