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Finding the Fourth Proportional to 2,601, 3,584.43 and 1,813.68

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Solution

The fourth proportional to 2,601, 3,584.43 and 1,813.68 is: 2,499.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601 : 3,584.43 = 1,813.68 : x
  2. Step 2: Convert to fraction form
    2,601/3,584.43 = 1,813.68/x
  3. Step 3: Cross multiply
    2,601x = 3,584.43 × 1,813.68
  4. Step 4: Simplify right side
    2,601x = 6,501,009.00
  5. Step 5: Solve for x
    x = 6,501,009.00/2,601
  6. Step 6: Final answer
    x = 2,499.43

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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.