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Finding the Fourth Proportional to 2,765.51, 4,138.70 and 2,266.14

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Solution

The fourth proportional to 2,765.51, 4,138.70 and 2,266.14 is: 3,391.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.51 : 4,138.70 = 2,266.14 : x
  2. Step 2: Convert to fraction form
    2,765.51/4,138.70 = 2,266.14/x
  3. Step 3: Cross multiply
    2,765.51x = 4,138.70 × 2,266.14
  4. Step 4: Simplify right side
    2,765.51x = 9,378,877.81
  5. Step 5: Solve for x
    x = 9,378,877.81/2,765.51
  6. Step 6: Final answer
    x = 3,391.38

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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.