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Finding the Fourth Proportional to 2,570.60, 3,835.71 and 2,413.87

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Solution

The fourth proportional to 2,570.60, 3,835.71 and 2,413.87 is: 3,601.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.60 : 3,835.71 = 2,413.87 : x
  2. Step 2: Convert to fraction form
    2,570.60/3,835.71 = 2,413.87/x
  3. Step 3: Cross multiply
    2,570.60x = 3,835.71 × 2,413.87
  4. Step 4: Simplify right side
    2,570.60x = 9,258,874.05
  5. Step 5: Solve for x
    x = 9,258,874.05/2,570.60
  6. Step 6: Final answer
    x = 3,601.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.