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Finding the Fourth Proportional to 3,174.58, 4,381.38 and 1,849.02

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Solution

The fourth proportional to 3,174.58, 4,381.38 and 1,849.02 is: 2,551.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.58 : 4,381.38 = 1,849.02 : x
  2. Step 2: Convert to fraction form
    3,174.58/4,381.38 = 1,849.02/x
  3. Step 3: Cross multiply
    3,174.58x = 4,381.38 × 1,849.02
  4. Step 4: Simplify right side
    3,174.58x = 8,101,259.25
  5. Step 5: Solve for x
    x = 8,101,259.25/3,174.58
  6. Step 6: Final answer
    x = 2,551.92

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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.