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Finding the Fourth Proportional to 2,602.28, 3,592.88 and 1,540.39

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Solution

The fourth proportional to 2,602.28, 3,592.88 and 1,540.39 is: 2,126.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.28 : 3,592.88 = 1,540.39 : x
  2. Step 2: Convert to fraction form
    2,602.28/3,592.88 = 1,540.39/x
  3. Step 3: Cross multiply
    2,602.28x = 3,592.88 × 1,540.39
  4. Step 4: Simplify right side
    2,602.28x = 5,534,436.42
  5. Step 5: Solve for x
    x = 5,534,436.42/2,602.28
  6. Step 6: Final answer
    x = 2,126.76

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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.