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Finding the Fourth Proportional to 2,071, 3,109.36 and 1,071.06

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Solution

The fourth proportional to 2,071, 3,109.36 and 1,071.06 is: 1,608.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071 : 3,109.36 = 1,071.06 : x
  2. Step 2: Convert to fraction form
    2,071/3,109.36 = 1,071.06/x
  3. Step 3: Cross multiply
    2,071x = 3,109.36 × 1,071.06
  4. Step 4: Simplify right side
    2,071x = 3,330,311.12
  5. Step 5: Solve for x
    x = 3,330,311.12/2,071
  6. Step 6: Final answer
    x = 1,608.07

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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.