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Finding the Fourth Proportional to 1,834.31, 2,751.04 and 1,094.13

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Solution

The fourth proportional to 1,834.31, 2,751.04 and 1,094.13 is: 1,640.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834.31 : 2,751.04 = 1,094.13 : x
  2. Step 2: Convert to fraction form
    1,834.31/2,751.04 = 1,094.13/x
  3. Step 3: Cross multiply
    1,834.31x = 2,751.04 × 1,094.13
  4. Step 4: Simplify right side
    1,834.31x = 3,009,995.40
  5. Step 5: Solve for x
    x = 3,009,995.40/1,834.31
  6. Step 6: Final answer
    x = 1,640.94

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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.