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Finding the Fourth Proportional to 1,645.36, 2,468.12 and 491

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Solution

The fourth proportional to 1,645.36, 2,468.12 and 491 is: 736.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.36 : 2,468.12 = 491 : x
  2. Step 2: Convert to fraction form
    1,645.36/2,468.12 = 491/x
  3. Step 3: Cross multiply
    1,645.36x = 2,468.12 × 491
  4. Step 4: Simplify right side
    1,645.36x = 1,211,846.92
  5. Step 5: Solve for x
    x = 1,211,846.92/1,645.36
  6. Step 6: Final answer
    x = 736.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.