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Finding the Fourth Proportional to 2,461.78, 3,396.12 and 1,413.28

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Solution

The fourth proportional to 2,461.78, 3,396.12 and 1,413.28 is: 1,949.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.78 : 3,396.12 = 1,413.28 : x
  2. Step 2: Convert to fraction form
    2,461.78/3,396.12 = 1,413.28/x
  3. Step 3: Cross multiply
    2,461.78x = 3,396.12 × 1,413.28
  4. Step 4: Simplify right side
    2,461.78x = 4,799,668.47
  5. Step 5: Solve for x
    x = 4,799,668.47/2,461.78
  6. Step 6: Final answer
    x = 1,949.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.