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Finding the Fourth Proportional to 2,093.40, 3,140.10 and 1,765.35

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Solution

The fourth proportional to 2,093.40, 3,140.10 and 1,765.35 is: 2,648.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.40 : 3,140.10 = 1,765.35 : x
  2. Step 2: Convert to fraction form
    2,093.40/3,140.10 = 1,765.35/x
  3. Step 3: Cross multiply
    2,093.40x = 3,140.10 × 1,765.35
  4. Step 4: Simplify right side
    2,093.40x = 5,543,375.54
  5. Step 5: Solve for x
    x = 5,543,375.54/2,093.40
  6. Step 6: Final answer
    x = 2,648.03

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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.