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Finding the Fourth Proportional to 2,100.28, 3,149.58 and 945.28

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Solution

The fourth proportional to 2,100.28, 3,149.58 and 945.28 is: 1,417.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.28 : 3,149.58 = 945.28 : x
  2. Step 2: Convert to fraction form
    2,100.28/3,149.58 = 945.28/x
  3. Step 3: Cross multiply
    2,100.28x = 3,149.58 × 945.28
  4. Step 4: Simplify right side
    2,100.28x = 2,977,234.98
  5. Step 5: Solve for x
    x = 2,977,234.98/2,100.28
  6. Step 6: Final answer
    x = 1,417.54

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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.