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Finding the Fourth Proportional to 4,942.43, 7,413.70 and 1,655.53

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Solution

The fourth proportional to 4,942.43, 7,413.70 and 1,655.53 is: 2,483.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,942.43 : 7,413.70 = 1,655.53 : x
  2. Step 2: Convert to fraction form
    4,942.43/7,413.70 = 1,655.53/x
  3. Step 3: Cross multiply
    4,942.43x = 7,413.70 × 1,655.53
  4. Step 4: Simplify right side
    4,942.43x = 12,273,595.56
  5. Step 5: Solve for x
    x = 12,273,595.56/4,942.43
  6. Step 6: Final answer
    x = 2,483.31

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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.