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Finding the Fourth Proportional to 1,782.95, 2,675.33 and 1,266.30

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Solution

The fourth proportional to 1,782.95, 2,675.33 and 1,266.30 is: 1,900.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.95 : 2,675.33 = 1,266.30 : x
  2. Step 2: Convert to fraction form
    1,782.95/2,675.33 = 1,266.30/x
  3. Step 3: Cross multiply
    1,782.95x = 2,675.33 × 1,266.30
  4. Step 4: Simplify right side
    1,782.95x = 3,387,764.05
  5. Step 5: Solve for x
    x = 3,387,764.05/1,782.95
  6. Step 6: Final answer
    x = 1,900.09

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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.