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Finding the Fourth Proportional to 2,413.55, 3,614.74 and 2,058.30

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Solution

The fourth proportional to 2,413.55, 3,614.74 and 2,058.30 is: 3,082.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413.55 : 3,614.74 = 2,058.30 : x
  2. Step 2: Convert to fraction form
    2,413.55/3,614.74 = 2,058.30/x
  3. Step 3: Cross multiply
    2,413.55x = 3,614.74 × 2,058.30
  4. Step 4: Simplify right side
    2,413.55x = 7,440,214.20
  5. Step 5: Solve for x
    x = 7,440,214.20/2,413.55
  6. Step 6: Final answer
    x = 3,082.68

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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.