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Finding the Fourth Proportional to 3,142.26, 4,706.15 and 1,752.51

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Solution

The fourth proportional to 3,142.26, 4,706.15 and 1,752.51 is: 2,624.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.26 : 4,706.15 = 1,752.51 : x
  2. Step 2: Convert to fraction form
    3,142.26/4,706.15 = 1,752.51/x
  3. Step 3: Cross multiply
    3,142.26x = 4,706.15 × 1,752.51
  4. Step 4: Simplify right side
    3,142.26x = 8,247,574.94
  5. Step 5: Solve for x
    x = 8,247,574.94/3,142.26
  6. Step 6: Final answer
    x = 2,624.73

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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.