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Finding the Fourth Proportional to 2,617, 3,611.30 and 1,438.04

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Solution

The fourth proportional to 2,617, 3,611.30 and 1,438.04 is: 1,984.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617 : 3,611.30 = 1,438.04 : x
  2. Step 2: Convert to fraction form
    2,617/3,611.30 = 1,438.04/x
  3. Step 3: Cross multiply
    2,617x = 3,611.30 × 1,438.04
  4. Step 4: Simplify right side
    2,617x = 5,193,193.85
  5. Step 5: Solve for x
    x = 5,193,193.85/2,617
  6. Step 6: Final answer
    x = 1,984.41

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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.