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Finding the Fourth Proportional to 2,106.76, 3,158.34 and 1,183

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Solution

The fourth proportional to 2,106.76, 3,158.34 and 1,183 is: 1,773.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.76 : 3,158.34 = 1,183 : x
  2. Step 2: Convert to fraction form
    2,106.76/3,158.34 = 1,183/x
  3. Step 3: Cross multiply
    2,106.76x = 3,158.34 × 1,183
  4. Step 4: Simplify right side
    2,106.76x = 3,736,316.22
  5. Step 5: Solve for x
    x = 3,736,316.22/2,106.76
  6. Step 6: Final answer
    x = 1,773.49

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Why These Related Problems?

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