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Finding the Fourth Proportional to 2,942.48, 4,413.72 and 1,094.00

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Solution

The fourth proportional to 2,942.48, 4,413.72 and 1,094.00 is: 1,641.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942.48 : 4,413.72 = 1,094.00 : x
  2. Step 2: Convert to fraction form
    2,942.48/4,413.72 = 1,094.00/x
  3. Step 3: Cross multiply
    2,942.48x = 4,413.72 × 1,094.00
  4. Step 4: Simplify right side
    2,942.48x = 4,828,587.61
  5. Step 5: Solve for x
    x = 4,828,587.61/2,942.48
  6. Step 6: Final answer
    x = 1,641.00

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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.