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Finding the Fourth Proportional to 1,951.45, 2,928.82 and 782.27

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Solution

The fourth proportional to 1,951.45, 2,928.82 and 782.27 is: 1,174.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,951.45 : 2,928.82 = 782.27 : x
  2. Step 2: Convert to fraction form
    1,951.45/2,928.82 = 782.27/x
  3. Step 3: Cross multiply
    1,951.45x = 2,928.82 × 782.27
  4. Step 4: Simplify right side
    1,951.45x = 2,291,128.02
  5. Step 5: Solve for x
    x = 2,291,128.02/1,951.45
  6. Step 6: Final answer
    x = 1,174.06

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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.