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Finding the Fourth Proportional to 2,741.60, 3,783.67 and 1,622.90

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Solution

The fourth proportional to 2,741.60, 3,783.67 and 1,622.90 is: 2,239.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.60 : 3,783.67 = 1,622.90 : x
  2. Step 2: Convert to fraction form
    2,741.60/3,783.67 = 1,622.90/x
  3. Step 3: Cross multiply
    2,741.60x = 3,783.67 × 1,622.90
  4. Step 4: Simplify right side
    2,741.60x = 6,140,518.04
  5. Step 5: Solve for x
    x = 6,140,518.04/2,741.60
  6. Step 6: Final answer
    x = 2,239.76

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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.