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Finding the Fourth Proportional to 2,146.68, 2,964.75 and 1,728.41

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Solution

The fourth proportional to 2,146.68, 2,964.75 and 1,728.41 is: 2,387.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.68 : 2,964.75 = 1,728.41 : x
  2. Step 2: Convert to fraction form
    2,146.68/2,964.75 = 1,728.41/x
  3. Step 3: Cross multiply
    2,146.68x = 2,964.75 × 1,728.41
  4. Step 4: Simplify right side
    2,146.68x = 5,124,316.98
  5. Step 5: Solve for x
    x = 5,124,316.98/2,146.68
  6. Step 6: Final answer
    x = 2,387.09

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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.