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Finding the Fourth Proportional to 2,904.35, 4,356.07 and 2,413.91

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Solution

The fourth proportional to 2,904.35, 4,356.07 and 2,413.91 is: 3,620.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,904.35 : 4,356.07 = 2,413.91 : x
  2. Step 2: Convert to fraction form
    2,904.35/4,356.07 = 2,413.91/x
  3. Step 3: Cross multiply
    2,904.35x = 4,356.07 × 2,413.91
  4. Step 4: Simplify right side
    2,904.35x = 10,515,158.51
  5. Step 5: Solve for x
    x = 10,515,158.51/2,904.35
  6. Step 6: Final answer
    x = 3,620.48

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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.