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Finding the Fourth Proportional to 1,364.94, 2,049.84 and 1,123.20

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Solution

The fourth proportional to 1,364.94, 2,049.84 and 1,123.20 is: 1,686.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.94 : 2,049.84 = 1,123.20 : x
  2. Step 2: Convert to fraction form
    1,364.94/2,049.84 = 1,123.20/x
  3. Step 3: Cross multiply
    1,364.94x = 2,049.84 × 1,123.20
  4. Step 4: Simplify right side
    1,364.94x = 2,302,380.29
  5. Step 5: Solve for x
    x = 2,302,380.29/1,364.94
  6. Step 6: Final answer
    x = 1,686.80

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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.