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Finding the Fourth Proportional to 2,466.12, 3,697.11 and 1,642.56

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Solution

The fourth proportional to 2,466.12, 3,697.11 and 1,642.56 is: 2,462.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466.12 : 3,697.11 = 1,642.56 : x
  2. Step 2: Convert to fraction form
    2,466.12/3,697.11 = 1,642.56/x
  3. Step 3: Cross multiply
    2,466.12x = 3,697.11 × 1,642.56
  4. Step 4: Simplify right side
    2,466.12x = 6,072,725.00
  5. Step 5: Solve for x
    x = 6,072,725.00/2,466.12
  6. Step 6: Final answer
    x = 2,462.46

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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.