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Finding the Fourth Proportional to 2,353.19, 3,528.18 and 1,413.99

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Solution

The fourth proportional to 2,353.19, 3,528.18 and 1,413.99 is: 2,120.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.19 : 3,528.18 = 1,413.99 : x
  2. Step 2: Convert to fraction form
    2,353.19/3,528.18 = 1,413.99/x
  3. Step 3: Cross multiply
    2,353.19x = 3,528.18 × 1,413.99
  4. Step 4: Simplify right side
    2,353.19x = 4,988,811.24
  5. Step 5: Solve for x
    x = 4,988,811.24/2,353.19
  6. Step 6: Final answer
    x = 2,120.03

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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.