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Finding the Fourth Proportional to 2,641.99, 3,648.41 and 1,699.41

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Solution

The fourth proportional to 2,641.99, 3,648.41 and 1,699.41 is: 2,346.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.99 : 3,648.41 = 1,699.41 : x
  2. Step 2: Convert to fraction form
    2,641.99/3,648.41 = 1,699.41/x
  3. Step 3: Cross multiply
    2,641.99x = 3,648.41 × 1,699.41
  4. Step 4: Simplify right side
    2,641.99x = 6,200,157.75
  5. Step 5: Solve for x
    x = 6,200,157.75/2,641.99
  6. Step 6: Final answer
    x = 2,346.78

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1.5x scale

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.