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Finding the Fourth Proportional to 3,115.63, 4,673.44 and 1,167.38

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Solution

The fourth proportional to 3,115.63, 4,673.44 and 1,167.38 is: 1,751.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,115.63 : 4,673.44 = 1,167.38 : x
  2. Step 2: Convert to fraction form
    3,115.63/4,673.44 = 1,167.38/x
  3. Step 3: Cross multiply
    3,115.63x = 4,673.44 × 1,167.38
  4. Step 4: Simplify right side
    3,115.63x = 5,455,680.39
  5. Step 5: Solve for x
    x = 5,455,680.39/3,115.63
  6. Step 6: Final answer
    x = 1,751.07

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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.