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Finding the Fourth Proportional to 2,109.54, 2,907.57 and 1,445.22

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Solution

The fourth proportional to 2,109.54, 2,907.57 and 1,445.22 is: 1,991.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.54 : 2,907.57 = 1,445.22 : x
  2. Step 2: Convert to fraction form
    2,109.54/2,907.57 = 1,445.22/x
  3. Step 3: Cross multiply
    2,109.54x = 2,907.57 × 1,445.22
  4. Step 4: Simplify right side
    2,109.54x = 4,202,078.32
  5. Step 5: Solve for x
    x = 4,202,078.32/2,109.54
  6. Step 6: Final answer
    x = 1,991.94

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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.