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Finding the Fourth Proportional to 2,641.46, 3,645.42 and 1,462.64

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Solution

The fourth proportional to 2,641.46, 3,645.42 and 1,462.64 is: 2,018.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.46 : 3,645.42 = 1,462.64 : x
  2. Step 2: Convert to fraction form
    2,641.46/3,645.42 = 1,462.64/x
  3. Step 3: Cross multiply
    2,641.46x = 3,645.42 × 1,462.64
  4. Step 4: Simplify right side
    2,641.46x = 5,331,937.11
  5. Step 5: Solve for x
    x = 5,331,937.11/2,641.46
  6. Step 6: Final answer
    x = 2,018.56

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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.