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Finding the Fourth Proportional to 1,592.54, 2,197.70 and 884.49

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Solution

The fourth proportional to 1,592.54, 2,197.70 and 884.49 is: 1,220.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592.54 : 2,197.70 = 884.49 : x
  2. Step 2: Convert to fraction form
    1,592.54/2,197.70 = 884.49/x
  3. Step 3: Cross multiply
    1,592.54x = 2,197.70 × 884.49
  4. Step 4: Simplify right side
    1,592.54x = 1,943,845.88
  5. Step 5: Solve for x
    x = 1,943,845.88/1,592.54
  6. Step 6: Final answer
    x = 1,220.59

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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.