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Finding the Fourth Proportional to 2,647.43, 3,653.28 and 1,468.46

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Solution

The fourth proportional to 2,647.43, 3,653.28 and 1,468.46 is: 2,026.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.43 : 3,653.28 = 1,468.46 : x
  2. Step 2: Convert to fraction form
    2,647.43/3,653.28 = 1,468.46/x
  3. Step 3: Cross multiply
    2,647.43x = 3,653.28 × 1,468.46
  4. Step 4: Simplify right side
    2,647.43x = 5,364,695.55
  5. Step 5: Solve for x
    x = 5,364,695.55/2,647.43
  6. Step 6: Final answer
    x = 2,026.38

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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.