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Finding the Fourth Proportional to 2,052.31, 3,076.63 and 956.08

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Solution

The fourth proportional to 2,052.31, 3,076.63 and 956.08 is: 1,433.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.31 : 3,076.63 = 956.08 : x
  2. Step 2: Convert to fraction form
    2,052.31/3,076.63 = 956.08/x
  3. Step 3: Cross multiply
    2,052.31x = 3,076.63 × 956.08
  4. Step 4: Simplify right side
    2,052.31x = 2,941,504.41
  5. Step 5: Solve for x
    x = 2,941,504.41/2,052.31
  6. Step 6: Final answer
    x = 1,433.27

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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.