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Finding the Fourth Proportional to 2,413.30, 3,614.55 and 2,359.30

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Solution

The fourth proportional to 2,413.30, 3,614.55 and 2,359.30 is: 3,533.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413.30 : 3,614.55 = 2,359.30 : x
  2. Step 2: Convert to fraction form
    2,413.30/3,614.55 = 2,359.30/x
  3. Step 3: Cross multiply
    2,413.30x = 3,614.55 × 2,359.30
  4. Step 4: Simplify right side
    2,413.30x = 8,527,807.82
  5. Step 5: Solve for x
    x = 8,527,807.82/2,413.30
  6. Step 6: Final answer
    x = 3,533.67

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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.