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Finding the Fourth Proportional to 1,312.14, 1,976.02 and 1,183.62

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Solution

The fourth proportional to 1,312.14, 1,976.02 and 1,183.62 is: 1,782.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.14 : 1,976.02 = 1,183.62 : x
  2. Step 2: Convert to fraction form
    1,312.14/1,976.02 = 1,183.62/x
  3. Step 3: Cross multiply
    1,312.14x = 1,976.02 × 1,183.62
  4. Step 4: Simplify right side
    1,312.14x = 2,338,856.79
  5. Step 5: Solve for x
    x = 2,338,856.79/1,312.14
  6. Step 6: Final answer
    x = 1,782.48

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.