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Finding the Fourth Proportional to 3,091.82, 4,266.56 and 1,747.46

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Solution

The fourth proportional to 3,091.82, 4,266.56 and 1,747.46 is: 2,411.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,091.82 : 4,266.56 = 1,747.46 : x
  2. Step 2: Convert to fraction form
    3,091.82/4,266.56 = 1,747.46/x
  3. Step 3: Cross multiply
    3,091.82x = 4,266.56 × 1,747.46
  4. Step 4: Simplify right side
    3,091.82x = 7,455,621.60
  5. Step 5: Solve for x
    x = 7,455,621.60/3,091.82
  6. Step 6: Final answer
    x = 2,411.40

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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.