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Finding the Fourth Proportional to 2,181.75, 3,023.51 and 2,140.20

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Solution

The fourth proportional to 2,181.75, 3,023.51 and 2,140.20 is: 2,965.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,181.75 : 3,023.51 = 2,140.20 : x
  2. Step 2: Convert to fraction form
    2,181.75/3,023.51 = 2,140.20/x
  3. Step 3: Cross multiply
    2,181.75x = 3,023.51 × 2,140.20
  4. Step 4: Simplify right side
    2,181.75x = 6,470,905.40
  5. Step 5: Solve for x
    x = 6,470,905.40/2,181.75
  6. Step 6: Final answer
    x = 2,965.92

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.