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Finding the Fourth Proportional to 1,900.30, 2,849.10 and 859.45

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Solution

The fourth proportional to 1,900.30, 2,849.10 and 859.45 is: 1,288.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900.30 : 2,849.10 = 859.45 : x
  2. Step 2: Convert to fraction form
    1,900.30/2,849.10 = 859.45/x
  3. Step 3: Cross multiply
    1,900.30x = 2,849.10 × 859.45
  4. Step 4: Simplify right side
    1,900.30x = 2,448,659.00
  5. Step 5: Solve for x
    x = 2,448,659.00/1,900.30
  6. Step 6: Final answer
    x = 1,288.56

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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.