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Finding the Fourth Proportional to 2,195.37, 3,029.54 and 1,200.69

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Solution

The fourth proportional to 2,195.37, 3,029.54 and 1,200.69 is: 1,656.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,195.37 : 3,029.54 = 1,200.69 : x
  2. Step 2: Convert to fraction form
    2,195.37/3,029.54 = 1,200.69/x
  3. Step 3: Cross multiply
    2,195.37x = 3,029.54 × 1,200.69
  4. Step 4: Simplify right side
    2,195.37x = 3,637,532.38
  5. Step 5: Solve for x
    x = 3,637,532.38/2,195.37
  6. Step 6: Final answer
    x = 1,656.91

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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.