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Finding the Fourth Proportional to 1,843.94, 2,763.48 and 1,477.02

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Solution

The fourth proportional to 1,843.94, 2,763.48 and 1,477.02 is: 2,213.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,843.94 : 2,763.48 = 1,477.02 : x
  2. Step 2: Convert to fraction form
    1,843.94/2,763.48 = 1,477.02/x
  3. Step 3: Cross multiply
    1,843.94x = 2,763.48 × 1,477.02
  4. Step 4: Simplify right side
    1,843.94x = 4,081,715.23
  5. Step 5: Solve for x
    x = 4,081,715.23/1,843.94
  6. Step 6: Final answer
    x = 2,213.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.