Home / 2,331.84-3,211-2,280.11

Finding the Fourth Proportional to 2,331.84, 3,211 and 2,280.11

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Solution

The fourth proportional to 2,331.84, 3,211 and 2,280.11 is: 3,139.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331.84 : 3,211 = 2,280.11 : x
  2. Step 2: Convert to fraction form
    2,331.84/3,211 = 2,280.11/x
  3. Step 3: Cross multiply
    2,331.84x = 3,211 × 2,280.11
  4. Step 4: Simplify right side
    2,331.84x = 7,321,433.21
  5. Step 5: Solve for x
    x = 7,321,433.21/2,331.84
  6. Step 6: Final answer
    x = 3,139.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.