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Finding the Fourth Proportional to 2,536.76, 3,805.39 and 687.89

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Solution

The fourth proportional to 2,536.76, 3,805.39 and 687.89 is: 1,031.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536.76 : 3,805.39 = 687.89 : x
  2. Step 2: Convert to fraction form
    2,536.76/3,805.39 = 687.89/x
  3. Step 3: Cross multiply
    2,536.76x = 3,805.39 × 687.89
  4. Step 4: Simplify right side
    2,536.76x = 2,617,683.25
  5. Step 5: Solve for x
    x = 2,617,683.25/2,536.76
  6. Step 6: Final answer
    x = 1,031.90

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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.