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Finding the Fourth Proportional to 2,938.58, 4,408.16 and 858.60

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Solution

The fourth proportional to 2,938.58, 4,408.16 and 858.60 is: 1,287.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938.58 : 4,408.16 = 858.60 : x
  2. Step 2: Convert to fraction form
    2,938.58/4,408.16 = 858.60/x
  3. Step 3: Cross multiply
    2,938.58x = 4,408.16 × 858.60
  4. Step 4: Simplify right side
    2,938.58x = 3,784,841.88
  5. Step 5: Solve for x
    x = 3,784,841.88/2,938.58
  6. Step 6: Final answer
    x = 1,287.98

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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.