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Finding the Fourth Proportional to 2,976.44, 4,461.71 and 1,413.69

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Solution

The fourth proportional to 2,976.44, 4,461.71 and 1,413.69 is: 2,119.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.44 : 4,461.71 = 1,413.69 : x
  2. Step 2: Convert to fraction form
    2,976.44/4,461.71 = 1,413.69/x
  3. Step 3: Cross multiply
    2,976.44x = 4,461.71 × 1,413.69
  4. Step 4: Simplify right side
    2,976.44x = 6,307,467.74
  5. Step 5: Solve for x
    x = 6,307,467.74/2,976.44
  6. Step 6: Final answer
    x = 2,119.14

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