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Finding the Fourth Proportional to 1,764.45, 2,431.82 and 1,560.78

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Solution

The fourth proportional to 1,764.45, 2,431.82 and 1,560.78 is: 2,151.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.45 : 2,431.82 = 1,560.78 : x
  2. Step 2: Convert to fraction form
    1,764.45/2,431.82 = 1,560.78/x
  3. Step 3: Cross multiply
    1,764.45x = 2,431.82 × 1,560.78
  4. Step 4: Simplify right side
    1,764.45x = 3,795,528.22
  5. Step 5: Solve for x
    x = 3,795,528.22/1,764.45
  6. Step 6: Final answer
    x = 2,151.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.