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Finding the Fourth Proportional to 2,659.41, 3,669.84 and 1,464.39

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Solution

The fourth proportional to 2,659.41, 3,669.84 and 1,464.39 is: 2,020.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.41 : 3,669.84 = 1,464.39 : x
  2. Step 2: Convert to fraction form
    2,659.41/3,669.84 = 1,464.39/x
  3. Step 3: Cross multiply
    2,659.41x = 3,669.84 × 1,464.39
  4. Step 4: Simplify right side
    2,659.41x = 5,374,077.00
  5. Step 5: Solve for x
    x = 5,374,077.00/2,659.41
  6. Step 6: Final answer
    x = 2,020.78

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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.