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Finding the Fourth Proportional to 2,429.20, 3,410.60 and 2,429.20

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Solution

The fourth proportional to 2,429.20, 3,410.60 and 2,429.20 is: 3,410.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429.20 : 3,410.60 = 2,429.20 : x
  2. Step 2: Convert to fraction form
    2,429.20/3,410.60 = 2,429.20/x
  3. Step 3: Cross multiply
    2,429.20x = 3,410.60 × 2,429.20
  4. Step 4: Simplify right side
    2,429.20x = 8,285,029.52
  5. Step 5: Solve for x
    x = 8,285,029.52/2,429.20
  6. Step 6: Final answer
    x = 3,410.60

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.