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Finding the Fourth Proportional to 1,640.80, 2,263.36 and 977.44

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Solution

The fourth proportional to 1,640.80, 2,263.36 and 977.44 is: 1,348.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.80 : 2,263.36 = 977.44 : x
  2. Step 2: Convert to fraction form
    1,640.80/2,263.36 = 977.44/x
  3. Step 3: Cross multiply
    1,640.80x = 2,263.36 × 977.44
  4. Step 4: Simplify right side
    1,640.80x = 2,212,298.60
  5. Step 5: Solve for x
    x = 2,212,298.60/1,640.80
  6. Step 6: Final answer
    x = 1,348.30

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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.