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Finding the Fourth Proportional to 1,847.79, 2,770.23 and 922.87

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Solution

The fourth proportional to 1,847.79, 2,770.23 and 922.87 is: 1,383.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847.79 : 2,770.23 = 922.87 : x
  2. Step 2: Convert to fraction form
    1,847.79/2,770.23 = 922.87/x
  3. Step 3: Cross multiply
    1,847.79x = 2,770.23 × 922.87
  4. Step 4: Simplify right side
    1,847.79x = 2,556,562.16
  5. Step 5: Solve for x
    x = 2,556,562.16/1,847.79
  6. Step 6: Final answer
    x = 1,383.58

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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.