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Finding the Fourth Proportional to 2,838.43, 3,918.83 and 1,846.53

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Solution

The fourth proportional to 2,838.43, 3,918.83 and 1,846.53 is: 2,549.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838.43 : 3,918.83 = 1,846.53 : x
  2. Step 2: Convert to fraction form
    2,838.43/3,918.83 = 1,846.53/x
  3. Step 3: Cross multiply
    2,838.43x = 3,918.83 × 1,846.53
  4. Step 4: Simplify right side
    2,838.43x = 7,236,254.85
  5. Step 5: Solve for x
    x = 7,236,254.85/2,838.43
  6. Step 6: Final answer
    x = 2,549.39

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Why These Related Problems?

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