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Finding the Fourth Proportional to 1,645.08, 2,467.74 and 671

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Solution

The fourth proportional to 1,645.08, 2,467.74 and 671 is: 1,006.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.08 : 2,467.74 = 671 : x
  2. Step 2: Convert to fraction form
    1,645.08/2,467.74 = 671/x
  3. Step 3: Cross multiply
    1,645.08x = 2,467.74 × 671
  4. Step 4: Simplify right side
    1,645.08x = 1,655,853.54
  5. Step 5: Solve for x
    x = 1,655,853.54/1,645.08
  6. Step 6: Final answer
    x = 1,006.55

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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.