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Finding the Fourth Proportional to 1,619.10, 2,425.05 and 1,310.22

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Solution

The fourth proportional to 1,619.10, 2,425.05 and 1,310.22 is: 1,962.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.10 : 2,425.05 = 1,310.22 : x
  2. Step 2: Convert to fraction form
    1,619.10/2,425.05 = 1,310.22/x
  3. Step 3: Cross multiply
    1,619.10x = 2,425.05 × 1,310.22
  4. Step 4: Simplify right side
    1,619.10x = 3,177,349.01
  5. Step 5: Solve for x
    x = 3,177,349.01/1,619.10
  6. Step 6: Final answer
    x = 1,962.42

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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.