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Finding the Fourth Proportional to 1,784.25, 2,677.46 and 758.25

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Solution

The fourth proportional to 1,784.25, 2,677.46 and 758.25 is: 1,137.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.25 : 2,677.46 = 758.25 : x
  2. Step 2: Convert to fraction form
    1,784.25/2,677.46 = 758.25/x
  3. Step 3: Cross multiply
    1,784.25x = 2,677.46 × 758.25
  4. Step 4: Simplify right side
    1,784.25x = 2,030,180.25
  5. Step 5: Solve for x
    x = 2,030,180.25/1,784.25
  6. Step 6: Final answer
    x = 1,137.83

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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.