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Finding the Fourth Proportional to 1,701.72, 2,551.77 and 1,181.30

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Solution

The fourth proportional to 1,701.72, 2,551.77 and 1,181.30 is: 1,771.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,701.72 : 2,551.77 = 1,181.30 : x
  2. Step 2: Convert to fraction form
    1,701.72/2,551.77 = 1,181.30/x
  3. Step 3: Cross multiply
    1,701.72x = 2,551.77 × 1,181.30
  4. Step 4: Simplify right side
    1,701.72x = 3,014,393.14
  5. Step 5: Solve for x
    x = 3,014,393.14/1,701.72
  6. Step 6: Final answer
    x = 1,771.38

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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.