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Finding the Fourth Proportional to 1,976.28, 2,966.28 and 1,003.08

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Solution

The fourth proportional to 1,976.28, 2,966.28 and 1,003.08 is: 1,505.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976.28 : 2,966.28 = 1,003.08 : x
  2. Step 2: Convert to fraction form
    1,976.28/2,966.28 = 1,003.08/x
  3. Step 3: Cross multiply
    1,976.28x = 2,966.28 × 1,003.08
  4. Step 4: Simplify right side
    1,976.28x = 2,975,416.14
  5. Step 5: Solve for x
    x = 2,975,416.14/1,976.28
  6. Step 6: Final answer
    x = 1,505.56

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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.