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Finding the Fourth Proportional to 1,773.57, 2,659.57 and 677.17

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Solution

The fourth proportional to 1,773.57, 2,659.57 and 677.17 is: 1,015.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,773.57 : 2,659.57 = 677.17 : x
  2. Step 2: Convert to fraction form
    1,773.57/2,659.57 = 677.17/x
  3. Step 3: Cross multiply
    1,773.57x = 2,659.57 × 677.17
  4. Step 4: Simplify right side
    1,773.57x = 1,800,981.02
  5. Step 5: Solve for x
    x = 1,800,981.02/1,773.57
  6. Step 6: Final answer
    x = 1,015.46

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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.