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Finding the Fourth Proportional to 1,651.20, 2,475.48 and 829.80

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Solution

The fourth proportional to 1,651.20, 2,475.48 and 829.80 is: 1,244.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,651.20 : 2,475.48 = 829.80 : x
  2. Step 2: Convert to fraction form
    1,651.20/2,475.48 = 829.80/x
  3. Step 3: Cross multiply
    1,651.20x = 2,475.48 × 829.80
  4. Step 4: Simplify right side
    1,651.20x = 2,054,153.30
  5. Step 5: Solve for x
    x = 2,054,153.30/1,651.20
  6. Step 6: Final answer
    x = 1,244.04

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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.