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Finding the Fourth Proportional to 3,027.89, 4,543.16 and 1,642.21

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Solution

The fourth proportional to 3,027.89, 4,543.16 and 1,642.21 is: 2,464.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,027.89 : 4,543.16 = 1,642.21 : x
  2. Step 2: Convert to fraction form
    3,027.89/4,543.16 = 1,642.21/x
  3. Step 3: Cross multiply
    3,027.89x = 4,543.16 × 1,642.21
  4. Step 4: Simplify right side
    3,027.89x = 7,460,803.21
  5. Step 5: Solve for x
    x = 7,460,803.21/3,027.89
  6. Step 6: Final answer
    x = 2,464.03

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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.