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Finding the Fourth Proportional to 2,600.52, 3,588.63 and 1,481.61

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Solution

The fourth proportional to 2,600.52, 3,588.63 and 1,481.61 is: 2,044.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.52 : 3,588.63 = 1,481.61 : x
  2. Step 2: Convert to fraction form
    2,600.52/3,588.63 = 1,481.61/x
  3. Step 3: Cross multiply
    2,600.52x = 3,588.63 × 1,481.61
  4. Step 4: Simplify right side
    2,600.52x = 5,316,950.09
  5. Step 5: Solve for x
    x = 5,316,950.09/2,600.52
  6. Step 6: Final answer
    x = 2,044.57

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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.