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Finding the Fourth Proportional to 3,343.95, 5,012.38 and 1,782.99

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Solution

The fourth proportional to 3,343.95, 5,012.38 and 1,782.99 is: 2,672.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,343.95 : 5,012.38 = 1,782.99 : x
  2. Step 2: Convert to fraction form
    3,343.95/5,012.38 = 1,782.99/x
  3. Step 3: Cross multiply
    3,343.95x = 5,012.38 × 1,782.99
  4. Step 4: Simplify right side
    3,343.95x = 8,937,023.42
  5. Step 5: Solve for x
    x = 8,937,023.42/3,343.95
  6. Step 6: Final answer
    x = 2,672.59

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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.