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Finding the Fourth Proportional to 3,187.32, 4,779.76 and 965.69

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Solution

The fourth proportional to 3,187.32, 4,779.76 and 965.69 is: 1,448.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,187.32 : 4,779.76 = 965.69 : x
  2. Step 2: Convert to fraction form
    3,187.32/4,779.76 = 965.69/x
  3. Step 3: Cross multiply
    3,187.32x = 4,779.76 × 965.69
  4. Step 4: Simplify right side
    3,187.32x = 4,615,766.43
  5. Step 5: Solve for x
    x = 4,615,766.43/3,187.32
  6. Step 6: Final answer
    x = 1,448.17

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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.