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Finding the Fourth Proportional to 1,847.71, 2,769.90 and 922.79

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Solution

The fourth proportional to 1,847.71, 2,769.90 and 922.79 is: 1,383.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847.71 : 2,769.90 = 922.79 : x
  2. Step 2: Convert to fraction form
    1,847.71/2,769.90 = 922.79/x
  3. Step 3: Cross multiply
    1,847.71x = 2,769.90 × 922.79
  4. Step 4: Simplify right side
    1,847.71x = 2,556,039.49
  5. Step 5: Solve for x
    x = 2,556,039.49/1,847.71
  6. Step 6: Final answer
    x = 1,383.35

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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.