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Finding the Fourth Proportional to 2,735.22, 3,779.40 and 2,150.40

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Solution

The fourth proportional to 2,735.22, 3,779.40 and 2,150.40 is: 2,971.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.22 : 3,779.40 = 2,150.40 : x
  2. Step 2: Convert to fraction form
    2,735.22/3,779.40 = 2,150.40/x
  3. Step 3: Cross multiply
    2,735.22x = 3,779.40 × 2,150.40
  4. Step 4: Simplify right side
    2,735.22x = 8,127,221.76
  5. Step 5: Solve for x
    x = 8,127,221.76/2,735.22
  6. Step 6: Final answer
    x = 2,971.32

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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.