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Finding the Fourth Proportional to 2,150.40, 2,967.68 and 1,206.50

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Solution

The fourth proportional to 2,150.40, 2,967.68 and 1,206.50 is: 1,665.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.40 : 2,967.68 = 1,206.50 : x
  2. Step 2: Convert to fraction form
    2,150.40/2,967.68 = 1,206.50/x
  3. Step 3: Cross multiply
    2,150.40x = 2,967.68 × 1,206.50
  4. Step 4: Simplify right side
    2,150.40x = 3,580,485.05
  5. Step 5: Solve for x
    x = 3,580,485.05/2,150.40
  6. Step 6: Final answer
    x = 1,665.03

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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.