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Finding the Fourth Proportional to 2,413.53, 3,622.35 and 953.72

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Solution

The fourth proportional to 2,413.53, 3,622.35 and 953.72 is: 1,431.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413.53 : 3,622.35 = 953.72 : x
  2. Step 2: Convert to fraction form
    2,413.53/3,622.35 = 953.72/x
  3. Step 3: Cross multiply
    2,413.53x = 3,622.35 × 953.72
  4. Step 4: Simplify right side
    2,413.53x = 3,454,689.53
  5. Step 5: Solve for x
    x = 3,454,689.53/2,413.53
  6. Step 6: Final answer
    x = 1,431.38

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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.