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Finding the Fourth Proportional to 2,609.16, 3,600.56 and 1,430.21

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Solution

The fourth proportional to 2,609.16, 3,600.56 and 1,430.21 is: 1,973.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.16 : 3,600.56 = 1,430.21 : x
  2. Step 2: Convert to fraction form
    2,609.16/3,600.56 = 1,430.21/x
  3. Step 3: Cross multiply
    2,609.16x = 3,600.56 × 1,430.21
  4. Step 4: Simplify right side
    2,609.16x = 5,149,542.49
  5. Step 5: Solve for x
    x = 5,149,542.49/2,609.16
  6. Step 6: Final answer
    x = 1,973.64

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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.