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Finding the Fourth Proportional to 1,323.70, 1,826.97 and 1,102.42

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Solution

The fourth proportional to 1,323.70, 1,826.97 and 1,102.42 is: 1,521.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.70 : 1,826.97 = 1,102.42 : x
  2. Step 2: Convert to fraction form
    1,323.70/1,826.97 = 1,102.42/x
  3. Step 3: Cross multiply
    1,323.70x = 1,826.97 × 1,102.42
  4. Step 4: Simplify right side
    1,323.70x = 2,014,088.27
  5. Step 5: Solve for x
    x = 2,014,088.27/1,323.70
  6. Step 6: Final answer
    x = 1,521.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.