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Finding the Fourth Proportional to 2,532.46, 3,494.81 and 1,413.42

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Solution

The fourth proportional to 2,532.46, 3,494.81 and 1,413.42 is: 1,950.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,532.46 : 3,494.81 = 1,413.42 : x
  2. Step 2: Convert to fraction form
    2,532.46/3,494.81 = 1,413.42/x
  3. Step 3: Cross multiply
    2,532.46x = 3,494.81 × 1,413.42
  4. Step 4: Simplify right side
    2,532.46x = 4,939,634.35
  5. Step 5: Solve for x
    x = 4,939,634.35/2,532.46
  6. Step 6: Final answer
    x = 1,950.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.