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Finding the Fourth Proportional to 1,675.85, 2,509.68 and 1,181.05

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Solution

The fourth proportional to 1,675.85, 2,509.68 and 1,181.05 is: 1,768.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,675.85 : 2,509.68 = 1,181.05 : x
  2. Step 2: Convert to fraction form
    1,675.85/2,509.68 = 1,181.05/x
  3. Step 3: Cross multiply
    1,675.85x = 2,509.68 × 1,181.05
  4. Step 4: Simplify right side
    1,675.85x = 2,964,051.29
  5. Step 5: Solve for x
    x = 2,964,051.29/1,675.85
  6. Step 6: Final answer
    x = 1,768.68

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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.