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Finding the Fourth Proportional to 3,178.28, 4,763.70 and 1,792.28

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Solution

The fourth proportional to 3,178.28, 4,763.70 and 1,792.28 is: 2,686.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.28 : 4,763.70 = 1,792.28 : x
  2. Step 2: Convert to fraction form
    3,178.28/4,763.70 = 1,792.28/x
  3. Step 3: Cross multiply
    3,178.28x = 4,763.70 × 1,792.28
  4. Step 4: Simplify right side
    3,178.28x = 8,537,884.24
  5. Step 5: Solve for x
    x = 8,537,884.24/3,178.28
  6. Step 6: Final answer
    x = 2,686.32

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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.