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Finding the Fourth Proportional to 2,273.84, 3,412 and 2,108.60

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Solution

The fourth proportional to 2,273.84, 3,412 and 2,108.60 is: 3,164.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.84 : 3,412 = 2,108.60 : x
  2. Step 2: Convert to fraction form
    2,273.84/3,412 = 2,108.60/x
  3. Step 3: Cross multiply
    2,273.84x = 3,412 × 2,108.60
  4. Step 4: Simplify right side
    2,273.84x = 7,194,543.20
  5. Step 5: Solve for x
    x = 7,194,543.20/2,273.84
  6. Step 6: Final answer
    x = 3,164.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.