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Finding the Fourth Proportional to 3,174.47, 4,380.54 and 1,758.02

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Solution

The fourth proportional to 3,174.47, 4,380.54 and 1,758.02 is: 2,425.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.47 : 4,380.54 = 1,758.02 : x
  2. Step 2: Convert to fraction form
    3,174.47/4,380.54 = 1,758.02/x
  3. Step 3: Cross multiply
    3,174.47x = 4,380.54 × 1,758.02
  4. Step 4: Simplify right side
    3,174.47x = 7,701,076.93
  5. Step 5: Solve for x
    x = 7,701,076.93/3,174.47
  6. Step 6: Final answer
    x = 2,425.94

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