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Finding the Fourth Proportional to 1,900.79, 2,851.22 and 912.52

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Solution

The fourth proportional to 1,900.79, 2,851.22 and 912.52 is: 1,368.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900.79 : 2,851.22 = 912.52 : x
  2. Step 2: Convert to fraction form
    1,900.79/2,851.22 = 912.52/x
  3. Step 3: Cross multiply
    1,900.79x = 2,851.22 × 912.52
  4. Step 4: Simplify right side
    1,900.79x = 2,601,795.27
  5. Step 5: Solve for x
    x = 2,601,795.27/1,900.79
  6. Step 6: Final answer
    x = 1,368.80

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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.