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Finding the Fourth Proportional to 2,133.63, 2,944.67 and 1,535.99

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Solution

The fourth proportional to 2,133.63, 2,944.67 and 1,535.99 is: 2,119.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.63 : 2,944.67 = 1,535.99 : x
  2. Step 2: Convert to fraction form
    2,133.63/2,944.67 = 1,535.99/x
  3. Step 3: Cross multiply
    2,133.63x = 2,944.67 × 1,535.99
  4. Step 4: Simplify right side
    2,133.63x = 4,522,961.27
  5. Step 5: Solve for x
    x = 4,522,961.27/2,133.63
  6. Step 6: Final answer
    x = 2,119.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.