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Finding the Fourth Proportional to 1,872.57, 2,807.60 and 1,317.73

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Solution

The fourth proportional to 1,872.57, 2,807.60 and 1,317.73 is: 1,975.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872.57 : 2,807.60 = 1,317.73 : x
  2. Step 2: Convert to fraction form
    1,872.57/2,807.60 = 1,317.73/x
  3. Step 3: Cross multiply
    1,872.57x = 2,807.60 × 1,317.73
  4. Step 4: Simplify right side
    1,872.57x = 3,699,658.75
  5. Step 5: Solve for x
    x = 3,699,658.75/1,872.57
  6. Step 6: Final answer
    x = 1,975.71

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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.