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Finding the Fourth Proportional to 2,172.96, 2,997.41 and 1,387.40

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Solution

The fourth proportional to 2,172.96, 2,997.41 and 1,387.40 is: 1,913.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.96 : 2,997.41 = 1,387.40 : x
  2. Step 2: Convert to fraction form
    2,172.96/2,997.41 = 1,387.40/x
  3. Step 3: Cross multiply
    2,172.96x = 2,997.41 × 1,387.40
  4. Step 4: Simplify right side
    2,172.96x = 4,158,584.71
  5. Step 5: Solve for x
    x = 4,158,584.71/2,172.96
  6. Step 6: Final answer
    x = 1,913.79

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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.