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Finding the Fourth Proportional to 2,150.40, 2,967.46 and 1,206.28

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Solution

The fourth proportional to 2,150.40, 2,967.46 and 1,206.28 is: 1,664.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.40 : 2,967.46 = 1,206.28 : x
  2. Step 2: Convert to fraction form
    2,150.40/2,967.46 = 1,206.28/x
  3. Step 3: Cross multiply
    2,150.40x = 2,967.46 × 1,206.28
  4. Step 4: Simplify right side
    2,150.40x = 3,579,587.65
  5. Step 5: Solve for x
    x = 3,579,587.65/2,150.40
  6. Step 6: Final answer
    x = 1,664.61

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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.