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Finding the Fourth Proportional to 2,600.09, 3,586.23 and 1,655.03

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Solution

The fourth proportional to 2,600.09, 3,586.23 and 1,655.03 is: 2,282.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.09 : 3,586.23 = 1,655.03 : x
  2. Step 2: Convert to fraction form
    2,600.09/3,586.23 = 1,655.03/x
  3. Step 3: Cross multiply
    2,600.09x = 3,586.23 × 1,655.03
  4. Step 4: Simplify right side
    2,600.09x = 5,935,300.31
  5. Step 5: Solve for x
    x = 5,935,300.31/2,600.09
  6. Step 6: Final answer
    x = 2,282.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.