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Finding the Fourth Proportional to 1,239.66, 1,856.52 and 1,035.54

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Solution

The fourth proportional to 1,239.66, 1,856.52 and 1,035.54 is: 1,550.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,239.66 : 1,856.52 = 1,035.54 : x
  2. Step 2: Convert to fraction form
    1,239.66/1,856.52 = 1,035.54/x
  3. Step 3: Cross multiply
    1,239.66x = 1,856.52 × 1,035.54
  4. Step 4: Simplify right side
    1,239.66x = 1,922,500.72
  5. Step 5: Solve for x
    x = 1,922,500.72/1,239.66
  6. Step 6: Final answer
    x = 1,550.83

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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.