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Finding the Fourth Proportional to 2,464.67, 3,401.22 and 1,345.65

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Solution

The fourth proportional to 2,464.67, 3,401.22 and 1,345.65 is: 1,856.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.67 : 3,401.22 = 1,345.65 : x
  2. Step 2: Convert to fraction form
    2,464.67/3,401.22 = 1,345.65/x
  3. Step 3: Cross multiply
    2,464.67x = 3,401.22 × 1,345.65
  4. Step 4: Simplify right side
    2,464.67x = 4,576,843.98
  5. Step 5: Solve for x
    x = 4,576,843.98/2,464.67
  6. Step 6: Final answer
    x = 1,856.98

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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.