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Finding the Fourth Proportional to 4,942.03, 7,413.60 and 1,655.35

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Solution

The fourth proportional to 4,942.03, 7,413.60 and 1,655.35 is: 2,483.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,942.03 : 7,413.60 = 1,655.35 : x
  2. Step 2: Convert to fraction form
    4,942.03/7,413.60 = 1,655.35/x
  3. Step 3: Cross multiply
    4,942.03x = 7,413.60 × 1,655.35
  4. Step 4: Simplify right side
    4,942.03x = 12,272,102.76
  5. Step 5: Solve for x
    x = 12,272,102.76/4,942.03
  6. Step 6: Final answer
    x = 2,483.21

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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.