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Finding the Fourth Proportional to 2,180.74, 3,285.64 and 1,972.74

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Solution

The fourth proportional to 2,180.74, 3,285.64 and 1,972.74 is: 2,972.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.74 : 3,285.64 = 1,972.74 : x
  2. Step 2: Convert to fraction form
    2,180.74/3,285.64 = 1,972.74/x
  3. Step 3: Cross multiply
    2,180.74x = 3,285.64 × 1,972.74
  4. Step 4: Simplify right side
    2,180.74x = 6,481,718.39
  5. Step 5: Solve for x
    x = 6,481,718.39/2,180.74
  6. Step 6: Final answer
    x = 2,972.26

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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.