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Finding the Fourth Proportional to 1,360.44, 2,041.23 and 922.19

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Solution

The fourth proportional to 1,360.44, 2,041.23 and 922.19 is: 1,383.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,360.44 : 2,041.23 = 922.19 : x
  2. Step 2: Convert to fraction form
    1,360.44/2,041.23 = 922.19/x
  3. Step 3: Cross multiply
    1,360.44x = 2,041.23 × 922.19
  4. Step 4: Simplify right side
    1,360.44x = 1,882,391.69
  5. Step 5: Solve for x
    x = 1,882,391.69/1,360.44
  6. Step 6: Final answer
    x = 1,383.66

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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.