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Finding the Fourth Proportional to 2,615.17, 3,608.96 and 1,420.17

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Solution

The fourth proportional to 2,615.17, 3,608.96 and 1,420.17 is: 1,959.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,615.17 : 3,608.96 = 1,420.17 : x
  2. Step 2: Convert to fraction form
    2,615.17/3,608.96 = 1,420.17/x
  3. Step 3: Cross multiply
    2,615.17x = 3,608.96 × 1,420.17
  4. Step 4: Simplify right side
    2,615.17x = 5,125,311.58
  5. Step 5: Solve for x
    x = 5,125,311.58/2,615.17
  6. Step 6: Final answer
    x = 1,959.84

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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.