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Finding the Fourth Proportional to 2,967.42, 4,450.26 and 887.34

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Solution

The fourth proportional to 2,967.42, 4,450.26 and 887.34 is: 1,330.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.42 : 4,450.26 = 887.34 : x
  2. Step 2: Convert to fraction form
    2,967.42/4,450.26 = 887.34/x
  3. Step 3: Cross multiply
    2,967.42x = 4,450.26 × 887.34
  4. Step 4: Simplify right side
    2,967.42x = 3,948,893.71
  5. Step 5: Solve for x
    x = 3,948,893.71/2,967.42
  6. Step 6: Final answer
    x = 1,330.75

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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.