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Finding the Fourth Proportional to 1,847.72, 2,770.13 and 922.82

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Solution

The fourth proportional to 1,847.72, 2,770.13 and 922.82 is: 1,383.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847.72 : 2,770.13 = 922.82 : x
  2. Step 2: Convert to fraction form
    1,847.72/2,770.13 = 922.82/x
  3. Step 3: Cross multiply
    1,847.72x = 2,770.13 × 922.82
  4. Step 4: Simplify right side
    1,847.72x = 2,556,312.90
  5. Step 5: Solve for x
    x = 2,556,312.90/1,847.72
  6. Step 6: Final answer
    x = 1,383.50

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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.