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Finding the Fourth Proportional to 2,846.32, 4,269.86 and 997

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Solution

The fourth proportional to 2,846.32, 4,269.86 and 997 is: 1,495.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.32 : 4,269.86 = 997 : x
  2. Step 2: Convert to fraction form
    2,846.32/4,269.86 = 997/x
  3. Step 3: Cross multiply
    2,846.32x = 4,269.86 × 997
  4. Step 4: Simplify right side
    2,846.32x = 4,257,050.42
  5. Step 5: Solve for x
    x = 4,257,050.42/2,846.32
  6. Step 6: Final answer
    x = 1,495.63

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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.