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Finding the Fourth Proportional to 1,619.26, 2,431.01 and 962.34

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Solution

The fourth proportional to 1,619.26, 2,431.01 and 962.34 is: 1,444.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.26 : 2,431.01 = 962.34 : x
  2. Step 2: Convert to fraction form
    1,619.26/2,431.01 = 962.34/x
  3. Step 3: Cross multiply
    1,619.26x = 2,431.01 × 962.34
  4. Step 4: Simplify right side
    1,619.26x = 2,339,458.16
  5. Step 5: Solve for x
    x = 2,339,458.16/1,619.26
  6. Step 6: Final answer
    x = 1,444.77

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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.