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Finding the Fourth Proportional to 2,149.96, 2,967.27 and 1,206.13

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Solution

The fourth proportional to 2,149.96, 2,967.27 and 1,206.13 is: 1,664.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.96 : 2,967.27 = 1,206.13 : x
  2. Step 2: Convert to fraction form
    2,149.96/2,967.27 = 1,206.13/x
  3. Step 3: Cross multiply
    2,149.96x = 2,967.27 × 1,206.13
  4. Step 4: Simplify right side
    2,149.96x = 3,578,913.37
  5. Step 5: Solve for x
    x = 3,578,913.37/2,149.96
  6. Step 6: Final answer
    x = 1,664.64

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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.