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Finding the Fourth Proportional to 1,348.36, 1,852.83 and 1,099.14

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Solution

The fourth proportional to 1,348.36, 1,852.83 and 1,099.14 is: 1,510.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.36 : 1,852.83 = 1,099.14 : x
  2. Step 2: Convert to fraction form
    1,348.36/1,852.83 = 1,099.14/x
  3. Step 3: Cross multiply
    1,348.36x = 1,852.83 × 1,099.14
  4. Step 4: Simplify right side
    1,348.36x = 2,036,519.57
  5. Step 5: Solve for x
    x = 2,036,519.57/1,348.36
  6. Step 6: Final answer
    x = 1,510.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.