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Finding the Fourth Proportional to 2,461.54, 3,396.56 and 1,413.40

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Solution

The fourth proportional to 2,461.54, 3,396.56 and 1,413.40 is: 1,950.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.54 : 3,396.56 = 1,413.40 : x
  2. Step 2: Convert to fraction form
    2,461.54/3,396.56 = 1,413.40/x
  3. Step 3: Cross multiply
    2,461.54x = 3,396.56 × 1,413.40
  4. Step 4: Simplify right side
    2,461.54x = 4,800,697.90
  5. Step 5: Solve for x
    x = 4,800,697.90/2,461.54
  6. Step 6: Final answer
    x = 1,950.28

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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.