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Finding the Fourth Proportional to 2,533.05, 3,495.62 and 1,413.99

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Solution

The fourth proportional to 2,533.05, 3,495.62 and 1,413.99 is: 1,951.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.05 : 3,495.62 = 1,413.99 : x
  2. Step 2: Convert to fraction form
    2,533.05/3,495.62 = 1,413.99/x
  3. Step 3: Cross multiply
    2,533.05x = 3,495.62 × 1,413.99
  4. Step 4: Simplify right side
    2,533.05x = 4,942,775.26
  5. Step 5: Solve for x
    x = 4,942,775.26/2,533.05
  6. Step 6: Final answer
    x = 1,951.31

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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.