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Finding the Fourth Proportional to 2,361.34, 3,538.82 and 899.70

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Solution

The fourth proportional to 2,361.34, 3,538.82 and 899.70 is: 1,348.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.34 : 3,538.82 = 899.70 : x
  2. Step 2: Convert to fraction form
    2,361.34/3,538.82 = 899.70/x
  3. Step 3: Cross multiply
    2,361.34x = 3,538.82 × 899.70
  4. Step 4: Simplify right side
    2,361.34x = 3,183,876.35
  5. Step 5: Solve for x
    x = 3,183,876.35/2,361.34
  6. Step 6: Final answer
    x = 1,348.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.