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Finding the Fourth Proportional to 2,532.41, 3,494.65 and 1,413.28

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Solution

The fourth proportional to 2,532.41, 3,494.65 and 1,413.28 is: 1,950.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,532.41 : 3,494.65 = 1,413.28 : x
  2. Step 2: Convert to fraction form
    2,532.41/3,494.65 = 1,413.28/x
  3. Step 3: Cross multiply
    2,532.41x = 3,494.65 × 1,413.28
  4. Step 4: Simplify right side
    2,532.41x = 4,938,918.95
  5. Step 5: Solve for x
    x = 4,938,918.95/2,532.41
  6. Step 6: Final answer
    x = 1,950.28

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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.