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Finding the Fourth Proportional to 2,105.42, 2,907.57 and 1,733.63

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Solution

The fourth proportional to 2,105.42, 2,907.57 and 1,733.63 is: 2,394.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.42 : 2,907.57 = 1,733.63 : x
  2. Step 2: Convert to fraction form
    2,105.42/2,907.57 = 1,733.63/x
  3. Step 3: Cross multiply
    2,105.42x = 2,907.57 × 1,733.63
  4. Step 4: Simplify right side
    2,105.42x = 5,040,627.37
  5. Step 5: Solve for x
    x = 5,040,627.37/2,105.42
  6. Step 6: Final answer
    x = 2,394.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.