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Finding the Fourth Proportional to 1,343.39, 1,852.02 and 1,324.94

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Solution

The fourth proportional to 1,343.39, 1,852.02 and 1,324.94 is: 1,826.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.39 : 1,852.02 = 1,324.94 : x
  2. Step 2: Convert to fraction form
    1,343.39/1,852.02 = 1,324.94/x
  3. Step 3: Cross multiply
    1,343.39x = 1,852.02 × 1,324.94
  4. Step 4: Simplify right side
    1,343.39x = 2,453,806.12
  5. Step 5: Solve for x
    x = 2,453,806.12/1,343.39
  6. Step 6: Final answer
    x = 1,826.58

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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.