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Finding the Fourth Proportional to 3,077.61, 4,609.53 and 1,431.69

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Solution

The fourth proportional to 3,077.61, 4,609.53 and 1,431.69 is: 2,144.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077.61 : 4,609.53 = 1,431.69 : x
  2. Step 2: Convert to fraction form
    3,077.61/4,609.53 = 1,431.69/x
  3. Step 3: Cross multiply
    3,077.61x = 4,609.53 × 1,431.69
  4. Step 4: Simplify right side
    3,077.61x = 6,599,418.01
  5. Step 5: Solve for x
    x = 6,599,418.01/3,077.61
  6. Step 6: Final answer
    x = 2,144.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.