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Finding the Fourth Proportional to 1,900.72, 2,851.35 and 804.88

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Solution

The fourth proportional to 1,900.72, 2,851.35 and 804.88 is: 1,207.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900.72 : 2,851.35 = 804.88 : x
  2. Step 2: Convert to fraction form
    1,900.72/2,851.35 = 804.88/x
  3. Step 3: Cross multiply
    1,900.72x = 2,851.35 × 804.88
  4. Step 4: Simplify right side
    1,900.72x = 2,294,994.59
  5. Step 5: Solve for x
    x = 2,294,994.59/1,900.72
  6. Step 6: Final answer
    x = 1,207.43

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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.