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Finding the Fourth Proportional to 1,845.59, 2,763.59 and 1,188.14

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Solution

The fourth proportional to 1,845.59, 2,763.59 and 1,188.14 is: 1,779.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,845.59 : 2,763.59 = 1,188.14 : x
  2. Step 2: Convert to fraction form
    1,845.59/2,763.59 = 1,188.14/x
  3. Step 3: Cross multiply
    1,845.59x = 2,763.59 × 1,188.14
  4. Step 4: Simplify right side
    1,845.59x = 3,283,512.06
  5. Step 5: Solve for x
    x = 3,283,512.06/1,845.59
  6. Step 6: Final answer
    x = 1,779.12

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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.