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Finding the Fourth Proportional to 2,834.04, 3,911.64 and 1,902

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Solution

The fourth proportional to 2,834.04, 3,911.64 and 1,902 is: 2,625.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.04 : 3,911.64 = 1,902 : x
  2. Step 2: Convert to fraction form
    2,834.04/3,911.64 = 1,902/x
  3. Step 3: Cross multiply
    2,834.04x = 3,911.64 × 1,902
  4. Step 4: Simplify right side
    2,834.04x = 7,439,939.28
  5. Step 5: Solve for x
    x = 7,439,939.28/2,834.04
  6. Step 6: Final answer
    x = 2,625.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.