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Finding the Fourth Proportional to 2,942.04, 4,413.06 and 750.69

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Solution

The fourth proportional to 2,942.04, 4,413.06 and 750.69 is: 1,126.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942.04 : 4,413.06 = 750.69 : x
  2. Step 2: Convert to fraction form
    2,942.04/4,413.06 = 750.69/x
  3. Step 3: Cross multiply
    2,942.04x = 4,413.06 × 750.69
  4. Step 4: Simplify right side
    2,942.04x = 3,312,840.01
  5. Step 5: Solve for x
    x = 3,312,840.01/2,942.04
  6. Step 6: Final answer
    x = 1,126.04

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