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Finding the Fourth Proportional to 1,776.35, 2,450.09 and 1,185.86

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Solution

The fourth proportional to 1,776.35, 2,450.09 and 1,185.86 is: 1,635.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776.35 : 2,450.09 = 1,185.86 : x
  2. Step 2: Convert to fraction form
    1,776.35/2,450.09 = 1,185.86/x
  3. Step 3: Cross multiply
    1,776.35x = 2,450.09 × 1,185.86
  4. Step 4: Simplify right side
    1,776.35x = 2,905,445.55
  5. Step 5: Solve for x
    x = 2,905,445.55/1,776.35
  6. Step 6: Final answer
    x = 1,635.63

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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.