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Finding the Fourth Proportional to 1,453.37, 2,180.67 and 933.65

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Solution

The fourth proportional to 1,453.37, 2,180.67 and 933.65 is: 1,400.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453.37 : 2,180.67 = 933.65 : x
  2. Step 2: Convert to fraction form
    1,453.37/2,180.67 = 933.65/x
  3. Step 3: Cross multiply
    1,453.37x = 2,180.67 × 933.65
  4. Step 4: Simplify right side
    1,453.37x = 2,035,982.55
  5. Step 5: Solve for x
    x = 2,035,982.55/1,453.37
  6. Step 6: Final answer
    x = 1,400.87

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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.