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Finding the Fourth Proportional to 3,171.69, 4,758.26 and 1,710.81

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Solution

The fourth proportional to 3,171.69, 4,758.26 and 1,710.81 is: 2,566.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.69 : 4,758.26 = 1,710.81 : x
  2. Step 2: Convert to fraction form
    3,171.69/4,758.26 = 1,710.81/x
  3. Step 3: Cross multiply
    3,171.69x = 4,758.26 × 1,710.81
  4. Step 4: Simplify right side
    3,171.69x = 8,140,470.24
  5. Step 5: Solve for x
    x = 8,140,470.24/3,171.69
  6. Step 6: Final answer
    x = 2,566.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.