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Finding the Fourth Proportional to 1,615.48, 2,415.82 and 1,204.92

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Solution

The fourth proportional to 1,615.48, 2,415.82 and 1,204.92 is: 1,801.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615.48 : 2,415.82 = 1,204.92 : x
  2. Step 2: Convert to fraction form
    1,615.48/2,415.82 = 1,204.92/x
  3. Step 3: Cross multiply
    1,615.48x = 2,415.82 × 1,204.92
  4. Step 4: Simplify right side
    1,615.48x = 2,910,869.83
  5. Step 5: Solve for x
    x = 2,910,869.83/1,615.48
  6. Step 6: Final answer
    x = 1,801.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.