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Finding the Fourth Proportional to 2,174.44, 3,259.50 and 1,133.80

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Solution

The fourth proportional to 2,174.44, 3,259.50 and 1,133.80 is: 1,699.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.44 : 3,259.50 = 1,133.80 : x
  2. Step 2: Convert to fraction form
    2,174.44/3,259.50 = 1,133.80/x
  3. Step 3: Cross multiply
    2,174.44x = 3,259.50 × 1,133.80
  4. Step 4: Simplify right side
    2,174.44x = 3,695,621.10
  5. Step 5: Solve for x
    x = 3,695,621.10/2,174.44
  6. Step 6: Final answer
    x = 1,699.57

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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.