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Finding the Fourth Proportional to 2,150.05, 2,967.39 and 1,206.22

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Solution

The fourth proportional to 2,150.05, 2,967.39 and 1,206.22 is: 1,664.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.05 : 2,967.39 = 1,206.22 : x
  2. Step 2: Convert to fraction form
    2,150.05/2,967.39 = 1,206.22/x
  3. Step 3: Cross multiply
    2,150.05x = 2,967.39 × 1,206.22
  4. Step 4: Simplify right side
    2,150.05x = 3,579,320.76
  5. Step 5: Solve for x
    x = 3,579,320.76/2,150.05
  6. Step 6: Final answer
    x = 1,664.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.