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Finding the Fourth Proportional to 1,895.67, 2,845.28 and 1,166.67

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Solution

The fourth proportional to 1,895.67, 2,845.28 and 1,166.67 is: 1,751.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,895.67 : 2,845.28 = 1,166.67 : x
  2. Step 2: Convert to fraction form
    1,895.67/2,845.28 = 1,166.67/x
  3. Step 3: Cross multiply
    1,895.67x = 2,845.28 × 1,166.67
  4. Step 4: Simplify right side
    1,895.67x = 3,319,505.73
  5. Step 5: Solve for x
    x = 3,319,505.73/1,895.67
  6. Step 6: Final answer
    x = 1,751.10

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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.