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Finding the Fourth Proportional to 2,600.55, 3,586.19 and 1,605.62

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Solution

The fourth proportional to 2,600.55, 3,586.19 and 1,605.62 is: 2,214.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.55 : 3,586.19 = 1,605.62 : x
  2. Step 2: Convert to fraction form
    2,600.55/3,586.19 = 1,605.62/x
  3. Step 3: Cross multiply
    2,600.55x = 3,586.19 × 1,605.62
  4. Step 4: Simplify right side
    2,600.55x = 5,758,059.33
  5. Step 5: Solve for x
    x = 5,758,059.33/2,600.55
  6. Step 6: Final answer
    x = 2,214.17

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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.