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Finding the Fourth Proportional to 1,549.44, 2,321.10 and 1,133.82

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Solution

The fourth proportional to 1,549.44, 2,321.10 and 1,133.82 is: 1,698.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.44 : 2,321.10 = 1,133.82 : x
  2. Step 2: Convert to fraction form
    1,549.44/2,321.10 = 1,133.82/x
  3. Step 3: Cross multiply
    1,549.44x = 2,321.10 × 1,133.82
  4. Step 4: Simplify right side
    1,549.44x = 2,631,709.60
  5. Step 5: Solve for x
    x = 2,631,709.60/1,549.44
  6. Step 6: Final answer
    x = 1,698.49

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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.