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Finding the Fourth Proportional to 3,181.57, 4,390.41 and 1,765.24

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Solution

The fourth proportional to 3,181.57, 4,390.41 and 1,765.24 is: 2,435.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,181.57 : 4,390.41 = 1,765.24 : x
  2. Step 2: Convert to fraction form
    3,181.57/4,390.41 = 1,765.24/x
  3. Step 3: Cross multiply
    3,181.57x = 4,390.41 × 1,765.24
  4. Step 4: Simplify right side
    3,181.57x = 7,750,127.35
  5. Step 5: Solve for x
    x = 7,750,127.35/3,181.57
  6. Step 6: Final answer
    x = 2,435.94

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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.