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Finding the Fourth Proportional to 1,782.79, 2,672.56 and 1,012.75

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Solution

The fourth proportional to 1,782.79, 2,672.56 and 1,012.75 is: 1,518.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.79 : 2,672.56 = 1,012.75 : x
  2. Step 2: Convert to fraction form
    1,782.79/2,672.56 = 1,012.75/x
  3. Step 3: Cross multiply
    1,782.79x = 2,672.56 × 1,012.75
  4. Step 4: Simplify right side
    1,782.79x = 2,706,635.14
  5. Step 5: Solve for x
    x = 2,706,635.14/1,782.79
  6. Step 6: Final answer
    x = 1,518.20

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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.