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Finding the Fourth Proportional to 2,175.38, 3,263.07 and 788.71

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Solution

The fourth proportional to 2,175.38, 3,263.07 and 788.71 is: 1,183.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.38 : 3,263.07 = 788.71 : x
  2. Step 2: Convert to fraction form
    2,175.38/3,263.07 = 788.71/x
  3. Step 3: Cross multiply
    2,175.38x = 3,263.07 × 788.71
  4. Step 4: Simplify right side
    2,175.38x = 2,573,615.94
  5. Step 5: Solve for x
    x = 2,573,615.94/2,175.38
  6. Step 6: Final answer
    x = 1,183.07

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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.