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Finding the Fourth Proportional to 1,766.24, 2,627.12 and 1,760.32

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Solution

The fourth proportional to 1,766.24, 2,627.12 and 1,760.32 is: 2,618.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766.24 : 2,627.12 = 1,760.32 : x
  2. Step 2: Convert to fraction form
    1,766.24/2,627.12 = 1,760.32/x
  3. Step 3: Cross multiply
    1,766.24x = 2,627.12 × 1,760.32
  4. Step 4: Simplify right side
    1,766.24x = 4,624,571.88
  5. Step 5: Solve for x
    x = 4,624,571.88/1,766.24
  6. Step 6: Final answer
    x = 2,618.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.