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Finding the Fourth Proportional to 2,181.51, 3,271.94 and 720.67

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Solution

The fourth proportional to 2,181.51, 3,271.94 and 720.67 is: 1,080.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,181.51 : 3,271.94 = 720.67 : x
  2. Step 2: Convert to fraction form
    2,181.51/3,271.94 = 720.67/x
  3. Step 3: Cross multiply
    2,181.51x = 3,271.94 × 720.67
  4. Step 4: Simplify right side
    2,181.51x = 2,357,989.00
  5. Step 5: Solve for x
    x = 2,357,989.00/2,181.51
  6. Step 6: Final answer
    x = 1,080.90

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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.