Home / 2,180.85-3,271.32-947.31

Finding the Fourth Proportional to 2,180.85, 3,271.32 and 947.31

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Solution

The fourth proportional to 2,180.85, 3,271.32 and 947.31 is: 1,420.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.85 : 3,271.32 = 947.31 : x
  2. Step 2: Convert to fraction form
    2,180.85/3,271.32 = 947.31/x
  3. Step 3: Cross multiply
    2,180.85x = 3,271.32 × 947.31
  4. Step 4: Simplify right side
    2,180.85x = 3,098,954.15
  5. Step 5: Solve for x
    x = 3,098,954.15/2,180.85
  6. Step 6: Final answer
    x = 1,420.98

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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.