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Finding the Fourth Proportional to 2,513.53, 3,469.13 and 1,451.98

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Solution

The fourth proportional to 2,513.53, 3,469.13 and 1,451.98 is: 2,003.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,513.53 : 3,469.13 = 1,451.98 : x
  2. Step 2: Convert to fraction form
    2,513.53/3,469.13 = 1,451.98/x
  3. Step 3: Cross multiply
    2,513.53x = 3,469.13 × 1,451.98
  4. Step 4: Simplify right side
    2,513.53x = 5,037,090.38
  5. Step 5: Solve for x
    x = 5,037,090.38/2,513.53
  6. Step 6: Final answer
    x = 2,003.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.