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Finding the Fourth Proportional to 1,185.66, 1,780.41 and 1,135.74

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Solution

The fourth proportional to 1,185.66, 1,780.41 and 1,135.74 is: 1,705.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.66 : 1,780.41 = 1,135.74 : x
  2. Step 2: Convert to fraction form
    1,185.66/1,780.41 = 1,135.74/x
  3. Step 3: Cross multiply
    1,185.66x = 1,780.41 × 1,135.74
  4. Step 4: Simplify right side
    1,185.66x = 2,022,082.85
  5. Step 5: Solve for x
    x = 2,022,082.85/1,185.66
  6. Step 6: Final answer
    x = 1,705.45

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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.