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Finding the Fourth Proportional to 2,150.90, 3,226.35 and 2,114.45

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Solution

The fourth proportional to 2,150.90, 3,226.35 and 2,114.45 is: 3,171.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.90 : 3,226.35 = 2,114.45 : x
  2. Step 2: Convert to fraction form
    2,150.90/3,226.35 = 2,114.45/x
  3. Step 3: Cross multiply
    2,150.90x = 3,226.35 × 2,114.45
  4. Step 4: Simplify right side
    2,150.90x = 6,821,955.76
  5. Step 5: Solve for x
    x = 6,821,955.76/2,150.90
  6. Step 6: Final answer
    x = 3,171.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.