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Finding the Fourth Proportional to 1,817.67, 2,507.74 and 1,188.56

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Solution

The fourth proportional to 1,817.67, 2,507.74 and 1,188.56 is: 1,639.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,817.67 : 2,507.74 = 1,188.56 : x
  2. Step 2: Convert to fraction form
    1,817.67/2,507.74 = 1,188.56/x
  3. Step 3: Cross multiply
    1,817.67x = 2,507.74 × 1,188.56
  4. Step 4: Simplify right side
    1,817.67x = 2,980,599.45
  5. Step 5: Solve for x
    x = 2,980,599.45/1,817.67
  6. Step 6: Final answer
    x = 1,639.79

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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.