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Finding the Fourth Proportional to 2,224.85, 3,068.87 and 1,783.80

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Solution

The fourth proportional to 2,224.85, 3,068.87 and 1,783.80 is: 2,460.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.85 : 3,068.87 = 1,783.80 : x
  2. Step 2: Convert to fraction form
    2,224.85/3,068.87 = 1,783.80/x
  3. Step 3: Cross multiply
    2,224.85x = 3,068.87 × 1,783.80
  4. Step 4: Simplify right side
    2,224.85x = 5,474,241.39
  5. Step 5: Solve for x
    x = 5,474,241.39/2,224.85
  6. Step 6: Final answer
    x = 2,460.50

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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.