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Finding the Fourth Proportional to 2,146.44, 3,220.20 and 848.01

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Solution

The fourth proportional to 2,146.44, 3,220.20 and 848.01 is: 1,272.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.44 : 3,220.20 = 848.01 : x
  2. Step 2: Convert to fraction form
    2,146.44/3,220.20 = 848.01/x
  3. Step 3: Cross multiply
    2,146.44x = 3,220.20 × 848.01
  4. Step 4: Simplify right side
    2,146.44x = 2,730,761.80
  5. Step 5: Solve for x
    x = 2,730,761.80/2,146.44
  6. Step 6: Final answer
    x = 1,272.23

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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.