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Finding the Fourth Proportional to 2,408.02, 3,322.50 and 1,413.40

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Solution

The fourth proportional to 2,408.02, 3,322.50 and 1,413.40 is: 1,950.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.02 : 3,322.50 = 1,413.40 : x
  2. Step 2: Convert to fraction form
    2,408.02/3,322.50 = 1,413.40/x
  3. Step 3: Cross multiply
    2,408.02x = 3,322.50 × 1,413.40
  4. Step 4: Simplify right side
    2,408.02x = 4,696,021.50
  5. Step 5: Solve for x
    x = 4,696,021.50/2,408.02
  6. Step 6: Final answer
    x = 1,950.16

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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.