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Finding the Fourth Proportional to 4,942.31, 7,413.52 and 1,655.43

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Solution

The fourth proportional to 4,942.31, 7,413.52 and 1,655.43 is: 2,483.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,942.31 : 7,413.52 = 1,655.43 : x
  2. Step 2: Convert to fraction form
    4,942.31/7,413.52 = 1,655.43/x
  3. Step 3: Cross multiply
    4,942.31x = 7,413.52 × 1,655.43
  4. Step 4: Simplify right side
    4,942.31x = 12,272,555.14
  5. Step 5: Solve for x
    x = 12,272,555.14/4,942.31
  6. Step 6: Final answer
    x = 2,483.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.