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Finding the Fourth Proportional to 3,142.90, 4,716.63 and 1,828.88

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Solution

The fourth proportional to 3,142.90, 4,716.63 and 1,828.88 is: 2,744.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.90 : 4,716.63 = 1,828.88 : x
  2. Step 2: Convert to fraction form
    3,142.90/4,716.63 = 1,828.88/x
  3. Step 3: Cross multiply
    3,142.90x = 4,716.63 × 1,828.88
  4. Step 4: Simplify right side
    3,142.90x = 8,626,144.38
  5. Step 5: Solve for x
    x = 8,626,144.38/3,142.90
  6. Step 6: Final answer
    x = 2,744.64

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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.