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Finding the Fourth Proportional to 2,645, 3,648.58 and 1,649.80

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Solution

The fourth proportional to 2,645, 3,648.58 and 1,649.80 is: 2,275.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645 : 3,648.58 = 1,649.80 : x
  2. Step 2: Convert to fraction form
    2,645/3,648.58 = 1,649.80/x
  3. Step 3: Cross multiply
    2,645x = 3,648.58 × 1,649.80
  4. Step 4: Simplify right side
    2,645x = 6,019,427.28
  5. Step 5: Solve for x
    x = 6,019,427.28/2,645
  6. Step 6: Final answer
    x = 2,275.78

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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.