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Finding the Fourth Proportional to 2,038.96, 3,072.04 and 1,844.18

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Solution

The fourth proportional to 2,038.96, 3,072.04 and 1,844.18 is: 2,778.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.96 : 3,072.04 = 1,844.18 : x
  2. Step 2: Convert to fraction form
    2,038.96/3,072.04 = 1,844.18/x
  3. Step 3: Cross multiply
    2,038.96x = 3,072.04 × 1,844.18
  4. Step 4: Simplify right side
    2,038.96x = 5,665,385.51
  5. Step 5: Solve for x
    x = 5,665,385.51/2,038.96
  6. Step 6: Final answer
    x = 2,778.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.