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Finding the Fourth Proportional to 2,643.47, 3,647.98 and 1,464.54

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Solution

The fourth proportional to 2,643.47, 3,647.98 and 1,464.54 is: 2,021.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.47 : 3,647.98 = 1,464.54 : x
  2. Step 2: Convert to fraction form
    2,643.47/3,647.98 = 1,464.54/x
  3. Step 3: Cross multiply
    2,643.47x = 3,647.98 × 1,464.54
  4. Step 4: Simplify right side
    2,643.47x = 5,342,605.31
  5. Step 5: Solve for x
    x = 5,342,605.31/2,643.47
  6. Step 6: Final answer
    x = 2,021.06

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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.