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Finding the Fourth Proportional to 2,997.32, 4,496.46 and 1,265.96

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Solution

The fourth proportional to 2,997.32, 4,496.46 and 1,265.96 is: 1,899.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997.32 : 4,496.46 = 1,265.96 : x
  2. Step 2: Convert to fraction form
    2,997.32/4,496.46 = 1,265.96/x
  3. Step 3: Cross multiply
    2,997.32x = 4,496.46 × 1,265.96
  4. Step 4: Simplify right side
    2,997.32x = 5,692,338.50
  5. Step 5: Solve for x
    x = 5,692,338.50/2,997.32
  6. Step 6: Final answer
    x = 1,899.14

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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.