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Finding the Fourth Proportional to 2,643.94, 3,648.49 and 1,464.92

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Solution

The fourth proportional to 2,643.94, 3,648.49 and 1,464.92 is: 2,021.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.94 : 3,648.49 = 1,464.92 : x
  2. Step 2: Convert to fraction form
    2,643.94/3,648.49 = 1,464.92/x
  3. Step 3: Cross multiply
    2,643.94x = 3,648.49 × 1,464.92
  4. Step 4: Simplify right side
    2,643.94x = 5,344,724.07
  5. Step 5: Solve for x
    x = 5,344,724.07/2,643.94
  6. Step 6: Final answer
    x = 2,021.50

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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.