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Finding the Fourth Proportional to 2,413.90, 3,622.90 and 954.08

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Solution

The fourth proportional to 2,413.90, 3,622.90 and 954.08 is: 1,431.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413.90 : 3,622.90 = 954.08 : x
  2. Step 2: Convert to fraction form
    2,413.90/3,622.90 = 954.08/x
  3. Step 3: Cross multiply
    2,413.90x = 3,622.90 × 954.08
  4. Step 4: Simplify right side
    2,413.90x = 3,456,533.10
  5. Step 5: Solve for x
    x = 3,456,533.10/2,413.90
  6. Step 6: Final answer
    x = 1,431.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.