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Finding the Fourth Proportional to 2,532.78, 3,495.23 and 1,413.68

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Solution

The fourth proportional to 2,532.78, 3,495.23 and 1,413.68 is: 1,950.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,532.78 : 3,495.23 = 1,413.68 : x
  2. Step 2: Convert to fraction form
    2,532.78/3,495.23 = 1,413.68/x
  3. Step 3: Cross multiply
    2,532.78x = 3,495.23 × 1,413.68
  4. Step 4: Simplify right side
    2,532.78x = 4,941,136.75
  5. Step 5: Solve for x
    x = 4,941,136.75/2,532.78
  6. Step 6: Final answer
    x = 1,950.88

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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.