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Finding the Fourth Proportional to 2,532.59, 3,494.97 and 1,413.47

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Solution

The fourth proportional to 2,532.59, 3,494.97 and 1,413.47 is: 1,950.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,532.59 : 3,494.97 = 1,413.47 : x
  2. Step 2: Convert to fraction form
    2,532.59/3,494.97 = 1,413.47/x
  3. Step 3: Cross multiply
    2,532.59x = 3,494.97 × 1,413.47
  4. Step 4: Simplify right side
    2,532.59x = 4,940,010.70
  5. Step 5: Solve for x
    x = 4,940,010.70/2,532.59
  6. Step 6: Final answer
    x = 1,950.58

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Why These Related Problems?

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