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Finding the Fourth Proportional to 2,757.70, 3,805.62 and 1,498.75

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Solution

The fourth proportional to 2,757.70, 3,805.62 and 1,498.75 is: 2,068.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.70 : 3,805.62 = 1,498.75 : x
  2. Step 2: Convert to fraction form
    2,757.70/3,805.62 = 1,498.75/x
  3. Step 3: Cross multiply
    2,757.70x = 3,805.62 × 1,498.75
  4. Step 4: Simplify right side
    2,757.70x = 5,703,657.84
  5. Step 5: Solve for x
    x = 5,703,657.84/2,757.70
  6. Step 6: Final answer
    x = 2,068.27

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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.