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Finding the Fourth Proportional to 1,845.56, 2,768.46 and 691.16

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Solution

The fourth proportional to 1,845.56, 2,768.46 and 691.16 is: 1,036.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,845.56 : 2,768.46 = 691.16 : x
  2. Step 2: Convert to fraction form
    1,845.56/2,768.46 = 691.16/x
  3. Step 3: Cross multiply
    1,845.56x = 2,768.46 × 691.16
  4. Step 4: Simplify right side
    1,845.56x = 1,913,448.81
  5. Step 5: Solve for x
    x = 1,913,448.81/1,845.56
  6. Step 6: Final answer
    x = 1,036.78

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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.