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Finding the Fourth Proportional to 2,609.30, 3,913.79 and 965.72

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Solution

The fourth proportional to 2,609.30, 3,913.79 and 965.72 is: 1,448.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.30 : 3,913.79 = 965.72 : x
  2. Step 2: Convert to fraction form
    2,609.30/3,913.79 = 965.72/x
  3. Step 3: Cross multiply
    2,609.30x = 3,913.79 × 965.72
  4. Step 4: Simplify right side
    2,609.30x = 3,779,630.23
  5. Step 5: Solve for x
    x = 3,779,630.23/2,609.30
  6. Step 6: Final answer
    x = 1,448.52

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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.