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Finding the Fourth Proportional to 1,493.59, 2,236.12 and 1,185.89

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Solution

The fourth proportional to 1,493.59, 2,236.12 and 1,185.89 is: 1,775.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493.59 : 2,236.12 = 1,185.89 : x
  2. Step 2: Convert to fraction form
    1,493.59/2,236.12 = 1,185.89/x
  3. Step 3: Cross multiply
    1,493.59x = 2,236.12 × 1,185.89
  4. Step 4: Simplify right side
    1,493.59x = 2,651,797.45
  5. Step 5: Solve for x
    x = 2,651,797.45/1,493.59
  6. Step 6: Final answer
    x = 1,775.45

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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.