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Finding the Fourth Proportional to 2,605.89, 3,907.29 and 1,046.62

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Solution

The fourth proportional to 2,605.89, 3,907.29 and 1,046.62 is: 1,569.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.89 : 3,907.29 = 1,046.62 : x
  2. Step 2: Convert to fraction form
    2,605.89/3,907.29 = 1,046.62/x
  3. Step 3: Cross multiply
    2,605.89x = 3,907.29 × 1,046.62
  4. Step 4: Simplify right side
    2,605.89x = 4,089,447.86
  5. Step 5: Solve for x
    x = 4,089,447.86/2,605.89
  6. Step 6: Final answer
    x = 1,569.31

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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.