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Finding the Fourth Proportional to 1,782.35, 2,686.89 and 1,663.42

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Solution

The fourth proportional to 1,782.35, 2,686.89 and 1,663.42 is: 2,507.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.35 : 2,686.89 = 1,663.42 : x
  2. Step 2: Convert to fraction form
    1,782.35/2,686.89 = 1,663.42/x
  3. Step 3: Cross multiply
    1,782.35x = 2,686.89 × 1,663.42
  4. Step 4: Simplify right side
    1,782.35x = 4,469,426.56
  5. Step 5: Solve for x
    x = 4,469,426.56/1,782.35
  6. Step 6: Final answer
    x = 2,507.60

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.