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Finding the Fourth Proportional to 2,182.70, 3,270.45 and 2,053.10

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Solution

The fourth proportional to 2,182.70, 3,270.45 and 2,053.10 is: 3,076.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.70 : 3,270.45 = 2,053.10 : x
  2. Step 2: Convert to fraction form
    2,182.70/3,270.45 = 2,053.10/x
  3. Step 3: Cross multiply
    2,182.70x = 3,270.45 × 2,053.10
  4. Step 4: Simplify right side
    2,182.70x = 6,714,560.90
  5. Step 5: Solve for x
    x = 6,714,560.90/2,182.70
  6. Step 6: Final answer
    x = 3,076.26

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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.