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Finding the Fourth Proportional to 2,035.28, 3,050.76 and 735.80

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Solution

The fourth proportional to 2,035.28, 3,050.76 and 735.80 is: 1,102.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.28 : 3,050.76 = 735.80 : x
  2. Step 2: Convert to fraction form
    2,035.28/3,050.76 = 735.80/x
  3. Step 3: Cross multiply
    2,035.28x = 3,050.76 × 735.80
  4. Step 4: Simplify right side
    2,035.28x = 2,244,749.21
  5. Step 5: Solve for x
    x = 2,244,749.21/2,035.28
  6. Step 6: Final answer
    x = 1,102.92

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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.