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Finding the Fourth Proportional to 2,095.54, 3,142.77 and 941.02

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Solution

The fourth proportional to 2,095.54, 3,142.77 and 941.02 is: 1,411.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.54 : 3,142.77 = 941.02 : x
  2. Step 2: Convert to fraction form
    2,095.54/3,142.77 = 941.02/x
  3. Step 3: Cross multiply
    2,095.54x = 3,142.77 × 941.02
  4. Step 4: Simplify right side
    2,095.54x = 2,957,409.43
  5. Step 5: Solve for x
    x = 2,957,409.43/2,095.54
  6. Step 6: Final answer
    x = 1,411.29

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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.