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Finding the Fourth Proportional to 2,410.60, 3,617.10 and 1,355.75

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Solution

The fourth proportional to 2,410.60, 3,617.10 and 1,355.75 is: 2,034.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.60 : 3,617.10 = 1,355.75 : x
  2. Step 2: Convert to fraction form
    2,410.60/3,617.10 = 1,355.75/x
  3. Step 3: Cross multiply
    2,410.60x = 3,617.10 × 1,355.75
  4. Step 4: Simplify right side
    2,410.60x = 4,903,883.33
  5. Step 5: Solve for x
    x = 4,903,883.33/2,410.60
  6. Step 6: Final answer
    x = 2,034.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.