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Finding the Fourth Proportional to 1,794.94, 2,477.46 and 1,271.14

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Solution

The fourth proportional to 1,794.94, 2,477.46 and 1,271.14 is: 1,754.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,794.94 : 2,477.46 = 1,271.14 : x
  2. Step 2: Convert to fraction form
    1,794.94/2,477.46 = 1,271.14/x
  3. Step 3: Cross multiply
    1,794.94x = 2,477.46 × 1,271.14
  4. Step 4: Simplify right side
    1,794.94x = 3,149,198.50
  5. Step 5: Solve for x
    x = 3,149,198.50/1,794.94
  6. Step 6: Final answer
    x = 1,754.49

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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.