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Finding the Fourth Proportional to 2,906.60, 4,359.90 and 2,580.20

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Solution

The fourth proportional to 2,906.60, 4,359.90 and 2,580.20 is: 3,870.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.60 : 4,359.90 = 2,580.20 : x
  2. Step 2: Convert to fraction form
    2,906.60/4,359.90 = 2,580.20/x
  3. Step 3: Cross multiply
    2,906.60x = 4,359.90 × 2,580.20
  4. Step 4: Simplify right side
    2,906.60x = 11,249,413.98
  5. Step 5: Solve for x
    x = 11,249,413.98/2,906.60
  6. Step 6: Final answer
    x = 3,870.30

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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.