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Finding the Fourth Proportional to 2,560.01, 3,535.13 and 1,617.47

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Solution

The fourth proportional to 2,560.01, 3,535.13 and 1,617.47 is: 2,233.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.01 : 3,535.13 = 1,617.47 : x
  2. Step 2: Convert to fraction form
    2,560.01/3,535.13 = 1,617.47/x
  3. Step 3: Cross multiply
    2,560.01x = 3,535.13 × 1,617.47
  4. Step 4: Simplify right side
    2,560.01x = 5,717,940.96
  5. Step 5: Solve for x
    x = 5,717,940.96/2,560.01
  6. Step 6: Final answer
    x = 2,233.57

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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.