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Finding the Fourth Proportional to 1,751.73, 2,626.60 and 1,405.72

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Solution

The fourth proportional to 1,751.73, 2,626.60 and 1,405.72 is: 2,107.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,751.73 : 2,626.60 = 1,405.72 : x
  2. Step 2: Convert to fraction form
    1,751.73/2,626.60 = 1,405.72/x
  3. Step 3: Cross multiply
    1,751.73x = 2,626.60 × 1,405.72
  4. Step 4: Simplify right side
    1,751.73x = 3,692,259.43
  5. Step 5: Solve for x
    x = 3,692,259.43/1,751.73
  6. Step 6: Final answer
    x = 2,107.78

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