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Finding the Fourth Proportional to 1,505.62, 2,076.24 and 1,190.26

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Solution

The fourth proportional to 1,505.62, 2,076.24 and 1,190.26 is: 1,641.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.62 : 2,076.24 = 1,190.26 : x
  2. Step 2: Convert to fraction form
    1,505.62/2,076.24 = 1,190.26/x
  3. Step 3: Cross multiply
    1,505.62x = 2,076.24 × 1,190.26
  4. Step 4: Simplify right side
    1,505.62x = 2,471,265.42
  5. Step 5: Solve for x
    x = 2,471,265.42/1,505.62
  6. Step 6: Final answer
    x = 1,641.36

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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.