Home / 2,180.42-3,271.23-947.94

Finding the Fourth Proportional to 2,180.42, 3,271.23 and 947.94

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Solution

The fourth proportional to 2,180.42, 3,271.23 and 947.94 is: 1,422.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.42 : 3,271.23 = 947.94 : x
  2. Step 2: Convert to fraction form
    2,180.42/3,271.23 = 947.94/x
  3. Step 3: Cross multiply
    2,180.42x = 3,271.23 × 947.94
  4. Step 4: Simplify right side
    2,180.42x = 3,100,929.77
  5. Step 5: Solve for x
    x = 3,100,929.77/2,180.42
  6. Step 6: Final answer
    x = 1,422.17

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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.