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Finding the Fourth Proportional to 2,150.79, 2,967.92 and 1,206.45

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Solution

The fourth proportional to 2,150.79, 2,967.92 and 1,206.45 is: 1,664.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.79 : 2,967.92 = 1,206.45 : x
  2. Step 2: Convert to fraction form
    2,150.79/2,967.92 = 1,206.45/x
  3. Step 3: Cross multiply
    2,150.79x = 2,967.92 × 1,206.45
  4. Step 4: Simplify right side
    2,150.79x = 3,580,641.05
  5. Step 5: Solve for x
    x = 3,580,641.05/2,150.79
  6. Step 6: Final answer
    x = 1,664.80

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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.