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Finding the Fourth Proportional to 2,100.20, 3,147.87 and 929.84

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Solution

The fourth proportional to 2,100.20, 3,147.87 and 929.84 is: 1,393.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.20 : 3,147.87 = 929.84 : x
  2. Step 2: Convert to fraction form
    2,100.20/3,147.87 = 929.84/x
  3. Step 3: Cross multiply
    2,100.20x = 3,147.87 × 929.84
  4. Step 4: Simplify right side
    2,100.20x = 2,927,015.44
  5. Step 5: Solve for x
    x = 2,927,015.44/2,100.20
  6. Step 6: Final answer
    x = 1,393.68

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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.