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Finding the Fourth Proportional to 2,050.34, 3,076.57 and 954.38

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Solution

The fourth proportional to 2,050.34, 3,076.57 and 954.38 is: 1,432.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050.34 : 3,076.57 = 954.38 : x
  2. Step 2: Convert to fraction form
    2,050.34/3,076.57 = 954.38/x
  3. Step 3: Cross multiply
    2,050.34x = 3,076.57 × 954.38
  4. Step 4: Simplify right side
    2,050.34x = 2,936,216.88
  5. Step 5: Solve for x
    x = 2,936,216.88/2,050.34
  6. Step 6: Final answer
    x = 1,432.06

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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.