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Finding the Fourth Proportional to 2,976.54, 4,465.36 and 1,128.20

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Solution

The fourth proportional to 2,976.54, 4,465.36 and 1,128.20 is: 1,692.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.54 : 4,465.36 = 1,128.20 : x
  2. Step 2: Convert to fraction form
    2,976.54/4,465.36 = 1,128.20/x
  3. Step 3: Cross multiply
    2,976.54x = 4,465.36 × 1,128.20
  4. Step 4: Simplify right side
    2,976.54x = 5,037,819.15
  5. Step 5: Solve for x
    x = 5,037,819.15/2,976.54
  6. Step 6: Final answer
    x = 1,692.51

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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.