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Finding the Fourth Proportional to 2,560.80, 3,533.76 and 1,512.96

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Solution

The fourth proportional to 2,560.80, 3,533.76 and 1,512.96 is: 2,087.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.80 : 3,533.76 = 1,512.96 : x
  2. Step 2: Convert to fraction form
    2,560.80/3,533.76 = 1,512.96/x
  3. Step 3: Cross multiply
    2,560.80x = 3,533.76 × 1,512.96
  4. Step 4: Simplify right side
    2,560.80x = 5,346,437.53
  5. Step 5: Solve for x
    x = 5,346,437.53/2,560.80
  6. Step 6: Final answer
    x = 2,087.80

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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.