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Finding the Fourth Proportional to 2,161.06, 2,982.48 and 1,415.43

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Solution

The fourth proportional to 2,161.06, 2,982.48 and 1,415.43 is: 1,953.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.06 : 2,982.48 = 1,415.43 : x
  2. Step 2: Convert to fraction form
    2,161.06/2,982.48 = 1,415.43/x
  3. Step 3: Cross multiply
    2,161.06x = 2,982.48 × 1,415.43
  4. Step 4: Simplify right side
    2,161.06x = 4,221,491.67
  5. Step 5: Solve for x
    x = 4,221,491.67/2,161.06
  6. Step 6: Final answer
    x = 1,953.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.