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Finding the Fourth Proportional to 2,602.24, 3,592.26 and 1,659.30

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Solution

The fourth proportional to 2,602.24, 3,592.26 and 1,659.30 is: 2,290.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.24 : 3,592.26 = 1,659.30 : x
  2. Step 2: Convert to fraction form
    2,602.24/3,592.26 = 1,659.30/x
  3. Step 3: Cross multiply
    2,602.24x = 3,592.26 × 1,659.30
  4. Step 4: Simplify right side
    2,602.24x = 5,960,636.96
  5. Step 5: Solve for x
    x = 5,960,636.96/2,602.24
  6. Step 6: Final answer
    x = 2,290.58

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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.