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Finding the Fourth Proportional to 2,583.68, 3,568.38 and 2,001.26

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Solution

The fourth proportional to 2,583.68, 3,568.38 and 2,001.26 is: 2,763.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.68 : 3,568.38 = 2,001.26 : x
  2. Step 2: Convert to fraction form
    2,583.68/3,568.38 = 2,001.26/x
  3. Step 3: Cross multiply
    2,583.68x = 3,568.38 × 2,001.26
  4. Step 4: Simplify right side
    2,583.68x = 7,141,256.16
  5. Step 5: Solve for x
    x = 7,141,256.16/2,583.68
  6. Step 6: Final answer
    x = 2,763.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.