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Finding the Fourth Proportional to 2,171.54, 2,997.06 and 1,387.46

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Solution

The fourth proportional to 2,171.54, 2,997.06 and 1,387.46 is: 1,914.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.54 : 2,997.06 = 1,387.46 : x
  2. Step 2: Convert to fraction form
    2,171.54/2,997.06 = 1,387.46/x
  3. Step 3: Cross multiply
    2,171.54x = 2,997.06 × 1,387.46
  4. Step 4: Simplify right side
    2,171.54x = 4,158,300.87
  5. Step 5: Solve for x
    x = 4,158,300.87/2,171.54
  6. Step 6: Final answer
    x = 1,914.91

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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.