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Finding the Fourth Proportional to 2,560.98, 3,533.87 and 1,441.89

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Solution

The fourth proportional to 2,560.98, 3,533.87 and 1,441.89 is: 1,989.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.98 : 3,533.87 = 1,441.89 : x
  2. Step 2: Convert to fraction form
    2,560.98/3,533.87 = 1,441.89/x
  3. Step 3: Cross multiply
    2,560.98x = 3,533.87 × 1,441.89
  4. Step 4: Simplify right side
    2,560.98x = 5,095,455.22
  5. Step 5: Solve for x
    x = 5,095,455.22/2,560.98
  6. Step 6: Final answer
    x = 1,989.65

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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.