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Finding the Fourth Proportional to 2,164.74, 3,260.46 and 2,061.06

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Solution

The fourth proportional to 2,164.74, 3,260.46 and 2,061.06 is: 3,104.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.74 : 3,260.46 = 2,061.06 : x
  2. Step 2: Convert to fraction form
    2,164.74/3,260.46 = 2,061.06/x
  3. Step 3: Cross multiply
    2,164.74x = 3,260.46 × 2,061.06
  4. Step 4: Simplify right side
    2,164.74x = 6,720,003.69
  5. Step 5: Solve for x
    x = 6,720,003.69/2,164.74
  6. Step 6: Final answer
    x = 3,104.30

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.