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Finding the Fourth Proportional to 3,109.85, 4,658.82 and 2,413.07

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Solution

The fourth proportional to 3,109.85, 4,658.82 and 2,413.07 is: 3,614.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.85 : 4,658.82 = 2,413.07 : x
  2. Step 2: Convert to fraction form
    3,109.85/4,658.82 = 2,413.07/x
  3. Step 3: Cross multiply
    3,109.85x = 4,658.82 × 2,413.07
  4. Step 4: Simplify right side
    3,109.85x = 11,242,058.78
  5. Step 5: Solve for x
    x = 11,242,058.78/3,109.85
  6. Step 6: Final answer
    x = 3,614.98

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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.