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Finding the Fourth Proportional to 2,097.63, 2,893.46 and 1,350.41

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Solution

The fourth proportional to 2,097.63, 2,893.46 and 1,350.41 is: 1,862.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.63 : 2,893.46 = 1,350.41 : x
  2. Step 2: Convert to fraction form
    2,097.63/2,893.46 = 1,350.41/x
  3. Step 3: Cross multiply
    2,097.63x = 2,893.46 × 1,350.41
  4. Step 4: Simplify right side
    2,097.63x = 3,907,336.10
  5. Step 5: Solve for x
    x = 3,907,336.10/2,097.63
  6. Step 6: Final answer
    x = 1,862.74

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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.