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Finding the Fourth Proportional to 1,235.42, 1,837.24 and 1,196.48

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Solution

The fourth proportional to 1,235.42, 1,837.24 and 1,196.48 is: 1,779.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.42 : 1,837.24 = 1,196.48 : x
  2. Step 2: Convert to fraction form
    1,235.42/1,837.24 = 1,196.48/x
  3. Step 3: Cross multiply
    1,235.42x = 1,837.24 × 1,196.48
  4. Step 4: Simplify right side
    1,235.42x = 2,198,222.52
  5. Step 5: Solve for x
    x = 2,198,222.52/1,235.42
  6. Step 6: Final answer
    x = 1,779.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.