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Finding the Fourth Proportional to 2,489.76, 3,735.66 and 1,757.76

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Solution

The fourth proportional to 2,489.76, 3,735.66 and 1,757.76 is: 2,637.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.76 : 3,735.66 = 1,757.76 : x
  2. Step 2: Convert to fraction form
    2,489.76/3,735.66 = 1,757.76/x
  3. Step 3: Cross multiply
    2,489.76x = 3,735.66 × 1,757.76
  4. Step 4: Simplify right side
    2,489.76x = 6,566,393.72
  5. Step 5: Solve for x
    x = 6,566,393.72/2,489.76
  6. Step 6: Final answer
    x = 2,637.36

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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.