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Finding the Fourth Proportional to 2,331.46, 3,489.95 and 1,742.99

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Solution

The fourth proportional to 2,331.46, 3,489.95 and 1,742.99 is: 2,609.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331.46 : 3,489.95 = 1,742.99 : x
  2. Step 2: Convert to fraction form
    2,331.46/3,489.95 = 1,742.99/x
  3. Step 3: Cross multiply
    2,331.46x = 3,489.95 × 1,742.99
  4. Step 4: Simplify right side
    2,331.46x = 6,082,947.95
  5. Step 5: Solve for x
    x = 6,082,947.95/2,331.46
  6. Step 6: Final answer
    x = 2,609.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.