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Finding the Fourth Proportional to 1,933.35, 2,900.02 and 960.13

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Solution

The fourth proportional to 1,933.35, 2,900.02 and 960.13 is: 1,440.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,933.35 : 2,900.02 = 960.13 : x
  2. Step 2: Convert to fraction form
    1,933.35/2,900.02 = 960.13/x
  3. Step 3: Cross multiply
    1,933.35x = 2,900.02 × 960.13
  4. Step 4: Simplify right side
    1,933.35x = 2,784,396.20
  5. Step 5: Solve for x
    x = 2,784,396.20/1,933.35
  6. Step 6: Final answer
    x = 1,440.19

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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.