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Finding the Fourth Proportional to 3,091.72, 4,266.68 and 1,765.40

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Solution

The fourth proportional to 3,091.72, 4,266.68 and 1,765.40 is: 2,436.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,091.72 : 4,266.68 = 1,765.40 : x
  2. Step 2: Convert to fraction form
    3,091.72/4,266.68 = 1,765.40/x
  3. Step 3: Cross multiply
    3,091.72x = 4,266.68 × 1,765.40
  4. Step 4: Simplify right side
    3,091.72x = 7,532,401.29
  5. Step 5: Solve for x
    x = 7,532,401.29/3,091.72
  6. Step 6: Final answer
    x = 2,436.31

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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.