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Finding the Fourth Proportional to 2,643.37, 3,647.77 and 1,464.42

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Solution

The fourth proportional to 2,643.37, 3,647.77 and 1,464.42 is: 2,020.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.37 : 3,647.77 = 1,464.42 : x
  2. Step 2: Convert to fraction form
    2,643.37/3,647.77 = 1,464.42/x
  3. Step 3: Cross multiply
    2,643.37x = 3,647.77 × 1,464.42
  4. Step 4: Simplify right side
    2,643.37x = 5,341,867.34
  5. Step 5: Solve for x
    x = 5,341,867.34/2,643.37
  6. Step 6: Final answer
    x = 2,020.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.