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Finding the Fourth Proportional to 1,640.87, 2,263.86 and 977.63

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Solution

The fourth proportional to 1,640.87, 2,263.86 and 977.63 is: 1,348.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.87 : 2,263.86 = 977.63 : x
  2. Step 2: Convert to fraction form
    1,640.87/2,263.86 = 977.63/x
  3. Step 3: Cross multiply
    1,640.87x = 2,263.86 × 977.63
  4. Step 4: Simplify right side
    1,640.87x = 2,213,217.45
  5. Step 5: Solve for x
    x = 2,213,217.45/1,640.87
  6. Step 6: Final answer
    x = 1,348.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.