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Finding the Fourth Proportional to 2,505.36, 3,757.86 and 1,118.82

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Solution

The fourth proportional to 2,505.36, 3,757.86 and 1,118.82 is: 1,678.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.36 : 3,757.86 = 1,118.82 : x
  2. Step 2: Convert to fraction form
    2,505.36/3,757.86 = 1,118.82/x
  3. Step 3: Cross multiply
    2,505.36x = 3,757.86 × 1,118.82
  4. Step 4: Simplify right side
    2,505.36x = 4,204,368.93
  5. Step 5: Solve for x
    x = 4,204,368.93/2,505.36
  6. Step 6: Final answer
    x = 1,678.15

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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.