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Finding the Fourth Proportional to 1,206.96, 1,820.58 and 1,168.08

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Solution

The fourth proportional to 1,206.96, 1,820.58 and 1,168.08 is: 1,761.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.96 : 1,820.58 = 1,168.08 : x
  2. Step 2: Convert to fraction form
    1,206.96/1,820.58 = 1,168.08/x
  3. Step 3: Cross multiply
    1,206.96x = 1,820.58 × 1,168.08
  4. Step 4: Simplify right side
    1,206.96x = 2,126,583.09
  5. Step 5: Solve for x
    x = 2,126,583.09/1,206.96
  6. Step 6: Final answer
    x = 1,761.93

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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.