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Finding the Fourth Proportional to 1,900.12, 2,849.90 and 601.60

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Solution

The fourth proportional to 1,900.12, 2,849.90 and 601.60 is: 902.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900.12 : 2,849.90 = 601.60 : x
  2. Step 2: Convert to fraction form
    1,900.12/2,849.90 = 601.60/x
  3. Step 3: Cross multiply
    1,900.12x = 2,849.90 × 601.60
  4. Step 4: Simplify right side
    1,900.12x = 1,714,499.84
  5. Step 5: Solve for x
    x = 1,714,499.84/1,900.12
  6. Step 6: Final answer
    x = 902.31

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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.