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Finding the Fourth Proportional to 2,012.80, 2,770.04 and 1,826.52

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Solution

The fourth proportional to 2,012.80, 2,770.04 and 1,826.52 is: 2,513.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.80 : 2,770.04 = 1,826.52 : x
  2. Step 2: Convert to fraction form
    2,012.80/2,770.04 = 1,826.52/x
  3. Step 3: Cross multiply
    2,012.80x = 2,770.04 × 1,826.52
  4. Step 4: Simplify right side
    2,012.80x = 5,059,533.46
  5. Step 5: Solve for x
    x = 5,059,533.46/2,012.80
  6. Step 6: Final answer
    x = 2,513.68

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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.