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Finding the Fourth Proportional to 2,410.60, 3,617.16 and 1,424.80

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Solution

The fourth proportional to 2,410.60, 3,617.16 and 1,424.80 is: 2,137.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.60 : 3,617.16 = 1,424.80 : x
  2. Step 2: Convert to fraction form
    2,410.60/3,617.16 = 1,424.80/x
  3. Step 3: Cross multiply
    2,410.60x = 3,617.16 × 1,424.80
  4. Step 4: Simplify right side
    2,410.60x = 5,153,729.57
  5. Step 5: Solve for x
    x = 5,153,729.57/2,410.60
  6. Step 6: Final answer
    x = 2,137.94

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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.