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Finding the Fourth Proportional to 2,583.36, 3,874.98 and 635.58

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Solution

The fourth proportional to 2,583.36, 3,874.98 and 635.58 is: 953.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.36 : 3,874.98 = 635.58 : x
  2. Step 2: Convert to fraction form
    2,583.36/3,874.98 = 635.58/x
  3. Step 3: Cross multiply
    2,583.36x = 3,874.98 × 635.58
  4. Step 4: Simplify right side
    2,583.36x = 2,462,859.79
  5. Step 5: Solve for x
    x = 2,462,859.79/2,583.36
  6. Step 6: Final answer
    x = 953.36

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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.