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Finding the Fourth Proportional to 2,560.57, 3,532.98 and 2,000.05

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Solution

The fourth proportional to 2,560.57, 3,532.98 and 2,000.05 is: 2,759.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.57 : 3,532.98 = 2,000.05 : x
  2. Step 2: Convert to fraction form
    2,560.57/3,532.98 = 2,000.05/x
  3. Step 3: Cross multiply
    2,560.57x = 3,532.98 × 2,000.05
  4. Step 4: Simplify right side
    2,560.57x = 7,066,135.32
  5. Step 5: Solve for x
    x = 7,066,135.32/2,560.57
  6. Step 6: Final answer
    x = 2,759.60

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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.