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Finding the Fourth Proportional to 3,115.83, 4,672.53 and 1,167.42

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Solution

The fourth proportional to 3,115.83, 4,672.53 and 1,167.42 is: 1,750.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,115.83 : 4,672.53 = 1,167.42 : x
  2. Step 2: Convert to fraction form
    3,115.83/4,672.53 = 1,167.42/x
  3. Step 3: Cross multiply
    3,115.83x = 4,672.53 × 1,167.42
  4. Step 4: Simplify right side
    3,115.83x = 5,454,804.97
  5. Step 5: Solve for x
    x = 5,454,804.97/3,115.83
  6. Step 6: Final answer
    x = 1,750.67

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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.