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Finding the Fourth Proportional to 2,600.00, 3,589.72 and 1,606.74

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Solution

The fourth proportional to 2,600.00, 3,589.72 and 1,606.74 is: 2,218.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.00 : 3,589.72 = 1,606.74 : x
  2. Step 2: Convert to fraction form
    2,600.00/3,589.72 = 1,606.74/x
  3. Step 3: Cross multiply
    2,600.00x = 3,589.72 × 1,606.74
  4. Step 4: Simplify right side
    2,600.00x = 5,767,729.23
  5. Step 5: Solve for x
    x = 5,767,729.23/2,600.00
  6. Step 6: Final answer
    x = 2,218.36

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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.