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Finding the Fourth Proportional to 2,591.42, 3,576.22 and 1,597.34

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Solution

The fourth proportional to 2,591.42, 3,576.22 and 1,597.34 is: 2,204.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.42 : 3,576.22 = 1,597.34 : x
  2. Step 2: Convert to fraction form
    2,591.42/3,576.22 = 1,597.34/x
  3. Step 3: Cross multiply
    2,591.42x = 3,576.22 × 1,597.34
  4. Step 4: Simplify right side
    2,591.42x = 5,712,444.20
  5. Step 5: Solve for x
    x = 5,712,444.20/2,591.42
  6. Step 6: Final answer
    x = 2,204.37

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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.