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Finding the Fourth Proportional to 2,605.59, 3,910.26 and 1,024.54

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Solution

The fourth proportional to 2,605.59, 3,910.26 and 1,024.54 is: 1,537.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.59 : 3,910.26 = 1,024.54 : x
  2. Step 2: Convert to fraction form
    2,605.59/3,910.26 = 1,024.54/x
  3. Step 3: Cross multiply
    2,605.59x = 3,910.26 × 1,024.54
  4. Step 4: Simplify right side
    2,605.59x = 4,006,217.78
  5. Step 5: Solve for x
    x = 4,006,217.78/2,605.59
  6. Step 6: Final answer
    x = 1,537.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.