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Finding the Fourth Proportional to 2,580.48, 3,890.16 and 2,413.44

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Solution

The fourth proportional to 2,580.48, 3,890.16 and 2,413.44 is: 3,638.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580.48 : 3,890.16 = 2,413.44 : x
  2. Step 2: Convert to fraction form
    2,580.48/3,890.16 = 2,413.44/x
  3. Step 3: Cross multiply
    2,580.48x = 3,890.16 × 2,413.44
  4. Step 4: Simplify right side
    2,580.48x = 9,388,667.75
  5. Step 5: Solve for x
    x = 9,388,667.75/2,580.48
  6. Step 6: Final answer
    x = 3,638.34

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.