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Finding the Fourth Proportional to 2,168.50, 2,997.93 and 2,076.70

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Solution

The fourth proportional to 2,168.50, 2,997.93 and 2,076.70 is: 2,871.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.50 : 2,997.93 = 2,076.70 : x
  2. Step 2: Convert to fraction form
    2,168.50/2,997.93 = 2,076.70/x
  3. Step 3: Cross multiply
    2,168.50x = 2,997.93 × 2,076.70
  4. Step 4: Simplify right side
    2,168.50x = 6,225,801.23
  5. Step 5: Solve for x
    x = 6,225,801.23/2,168.50
  6. Step 6: Final answer
    x = 2,871.02

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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.