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Finding the Fourth Proportional to 2,250.36, 3,104.64 and 1,410.70

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Solution

The fourth proportional to 2,250.36, 3,104.64 and 1,410.70 is: 1,946.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,250.36 : 3,104.64 = 1,410.70 : x
  2. Step 2: Convert to fraction form
    2,250.36/3,104.64 = 1,410.70/x
  3. Step 3: Cross multiply
    2,250.36x = 3,104.64 × 1,410.70
  4. Step 4: Simplify right side
    2,250.36x = 4,379,715.65
  5. Step 5: Solve for x
    x = 4,379,715.65/2,250.36
  6. Step 6: Final answer
    x = 1,946.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.