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Finding the Fourth Proportional to 1,353.22, 1,865.91 and 1,103.76

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Solution

The fourth proportional to 1,353.22, 1,865.91 and 1,103.76 is: 1,521.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.22 : 1,865.91 = 1,103.76 : x
  2. Step 2: Convert to fraction form
    1,353.22/1,865.91 = 1,103.76/x
  3. Step 3: Cross multiply
    1,353.22x = 1,865.91 × 1,103.76
  4. Step 4: Simplify right side
    1,353.22x = 2,059,516.82
  5. Step 5: Solve for x
    x = 2,059,516.82/1,353.22
  6. Step 6: Final answer
    x = 1,521.94

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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.