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Finding the Fourth Proportional to 2,549.96, 3,519.24 and 1,502

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Solution

The fourth proportional to 2,549.96, 3,519.24 and 1,502 is: 2,072.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.96 : 3,519.24 = 1,502 : x
  2. Step 2: Convert to fraction form
    2,549.96/3,519.24 = 1,502/x
  3. Step 3: Cross multiply
    2,549.96x = 3,519.24 × 1,502
  4. Step 4: Simplify right side
    2,549.96x = 5,285,898.48
  5. Step 5: Solve for x
    x = 5,285,898.48/2,549.96
  6. Step 6: Final answer
    x = 2,072.93

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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.