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Finding the Fourth Proportional to 1,533.11, 2,299.64 and 378.86

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Solution

The fourth proportional to 1,533.11, 2,299.64 and 378.86 is: 568.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.11 : 2,299.64 = 378.86 : x
  2. Step 2: Convert to fraction form
    1,533.11/2,299.64 = 378.86/x
  3. Step 3: Cross multiply
    1,533.11x = 2,299.64 × 378.86
  4. Step 4: Simplify right side
    1,533.11x = 871,228.22
  5. Step 5: Solve for x
    x = 871,228.22/1,533.11
  6. Step 6: Final answer
    x = 568.28

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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.