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Finding the Fourth Proportional to 1,503.56, 2,076.20 and 944.97

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Solution

The fourth proportional to 1,503.56, 2,076.20 and 944.97 is: 1,304.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.56 : 2,076.20 = 944.97 : x
  2. Step 2: Convert to fraction form
    1,503.56/2,076.20 = 944.97/x
  3. Step 3: Cross multiply
    1,503.56x = 2,076.20 × 944.97
  4. Step 4: Simplify right side
    1,503.56x = 1,961,937.75
  5. Step 5: Solve for x
    x = 1,961,937.75/1,503.56
  6. Step 6: Final answer
    x = 1,304.86

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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.