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Finding the Fourth Proportional to 2,146.60, 3,222.30 and 2,005.60

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Solution

The fourth proportional to 2,146.60, 3,222.30 and 2,005.60 is: 3,010.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.60 : 3,222.30 = 2,005.60 : x
  2. Step 2: Convert to fraction form
    2,146.60/3,222.30 = 2,005.60/x
  3. Step 3: Cross multiply
    2,146.60x = 3,222.30 × 2,005.60
  4. Step 4: Simplify right side
    2,146.60x = 6,462,644.88
  5. Step 5: Solve for x
    x = 6,462,644.88/2,146.60
  6. Step 6: Final answer
    x = 3,010.64

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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.