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Finding the Fourth Proportional to 2,394.37, 3,591.60 and 662.95

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Solution

The fourth proportional to 2,394.37, 3,591.60 and 662.95 is: 994.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,394.37 : 3,591.60 = 662.95 : x
  2. Step 2: Convert to fraction form
    2,394.37/3,591.60 = 662.95/x
  3. Step 3: Cross multiply
    2,394.37x = 3,591.60 × 662.95
  4. Step 4: Simplify right side
    2,394.37x = 2,381,051.22
  5. Step 5: Solve for x
    x = 2,381,051.22/2,394.37
  6. Step 6: Final answer
    x = 994.44

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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.