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Finding the Fourth Proportional to 2,146.08, 3,220.20 and 1,281

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Solution

The fourth proportional to 2,146.08, 3,220.20 and 1,281 is: 1,922.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.08 : 3,220.20 = 1,281 : x
  2. Step 2: Convert to fraction form
    2,146.08/3,220.20 = 1,281/x
  3. Step 3: Cross multiply
    2,146.08x = 3,220.20 × 1,281
  4. Step 4: Simplify right side
    2,146.08x = 4,125,076.20
  5. Step 5: Solve for x
    x = 4,125,076.20/2,146.08
  6. Step 6: Final answer
    x = 1,922.14

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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.