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Finding the Fourth Proportional to 2,532.17, 3,494.29 and 1,413.07

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Solution

The fourth proportional to 2,532.17, 3,494.29 and 1,413.07 is: 1,949.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,532.17 : 3,494.29 = 1,413.07 : x
  2. Step 2: Convert to fraction form
    2,532.17/3,494.29 = 1,413.07/x
  3. Step 3: Cross multiply
    2,532.17x = 3,494.29 × 1,413.07
  4. Step 4: Simplify right side
    2,532.17x = 4,937,676.37
  5. Step 5: Solve for x
    x = 4,937,676.37/2,532.17
  6. Step 6: Final answer
    x = 1,949.98

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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.