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Finding the Fourth Proportional to 2,144.66, 2,964.56 and 1,972.45

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Solution

The fourth proportional to 2,144.66, 2,964.56 and 1,972.45 is: 2,726.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.66 : 2,964.56 = 1,972.45 : x
  2. Step 2: Convert to fraction form
    2,144.66/2,964.56 = 1,972.45/x
  3. Step 3: Cross multiply
    2,144.66x = 2,964.56 × 1,972.45
  4. Step 4: Simplify right side
    2,144.66x = 5,847,446.37
  5. Step 5: Solve for x
    x = 5,847,446.37/2,144.66
  6. Step 6: Final answer
    x = 2,726.51

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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.