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Finding the Fourth Proportional to 2,150.90, 2,968.14 and 1,206.80

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Solution

The fourth proportional to 2,150.90, 2,968.14 and 1,206.80 is: 1,665.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.90 : 2,968.14 = 1,206.80 : x
  2. Step 2: Convert to fraction form
    2,150.90/2,968.14 = 1,206.80/x
  3. Step 3: Cross multiply
    2,150.90x = 2,968.14 × 1,206.80
  4. Step 4: Simplify right side
    2,150.90x = 3,581,952.17
  5. Step 5: Solve for x
    x = 3,581,952.17/2,150.90
  6. Step 6: Final answer
    x = 1,665.32

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Why These Related Problems?

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