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Finding the Fourth Proportional to 2,292.49, 3,438.74 and 1,059.67

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Solution

The fourth proportional to 2,292.49, 3,438.74 and 1,059.67 is: 1,589.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.49 : 3,438.74 = 1,059.67 : x
  2. Step 2: Convert to fraction form
    2,292.49/3,438.74 = 1,059.67/x
  3. Step 3: Cross multiply
    2,292.49x = 3,438.74 × 1,059.67
  4. Step 4: Simplify right side
    2,292.49x = 3,643,930.60
  5. Step 5: Solve for x
    x = 3,643,930.60/2,292.49
  6. Step 6: Final answer
    x = 1,589.51

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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.