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Finding the Fourth Proportional to 2,677.25, 4,014.86 and 921.75

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Solution

The fourth proportional to 2,677.25, 4,014.86 and 921.75 is: 1,382.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.25 : 4,014.86 = 921.75 : x
  2. Step 2: Convert to fraction form
    2,677.25/4,014.86 = 921.75/x
  3. Step 3: Cross multiply
    2,677.25x = 4,014.86 × 921.75
  4. Step 4: Simplify right side
    2,677.25x = 3,700,697.21
  5. Step 5: Solve for x
    x = 3,700,697.21/2,677.25
  6. Step 6: Final answer
    x = 1,382.28

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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.