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Finding the Fourth Proportional to 1,353.76, 2,027.04 and 1,137.76

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Solution

The fourth proportional to 1,353.76, 2,027.04 and 1,137.76 is: 1,703.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.76 : 2,027.04 = 1,137.76 : x
  2. Step 2: Convert to fraction form
    1,353.76/2,027.04 = 1,137.76/x
  3. Step 3: Cross multiply
    1,353.76x = 2,027.04 × 1,137.76
  4. Step 4: Simplify right side
    1,353.76x = 2,306,285.03
  5. Step 5: Solve for x
    x = 2,306,285.03/1,353.76
  6. Step 6: Final answer
    x = 1,703.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.