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Finding the Fourth Proportional to 3,262.23, 4,895.46 and 1,413.72

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Solution

The fourth proportional to 3,262.23, 4,895.46 and 1,413.72 is: 2,121.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,262.23 : 4,895.46 = 1,413.72 : x
  2. Step 2: Convert to fraction form
    3,262.23/4,895.46 = 1,413.72/x
  3. Step 3: Cross multiply
    3,262.23x = 4,895.46 × 1,413.72
  4. Step 4: Simplify right side
    3,262.23x = 6,920,809.71
  5. Step 5: Solve for x
    x = 6,920,809.71/3,262.23
  6. Step 6: Final answer
    x = 2,121.50

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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.