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Finding the Fourth Proportional to 2,609.26, 3,600.80 and 1,430.36

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Solution

The fourth proportional to 2,609.26, 3,600.80 and 1,430.36 is: 1,973.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.26 : 3,600.80 = 1,430.36 : x
  2. Step 2: Convert to fraction form
    2,609.26/3,600.80 = 1,430.36/x
  3. Step 3: Cross multiply
    2,609.26x = 3,600.80 × 1,430.36
  4. Step 4: Simplify right side
    2,609.26x = 5,150,440.29
  5. Step 5: Solve for x
    x = 5,150,440.29/2,609.26
  6. Step 6: Final answer
    x = 1,973.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.