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Finding the Fourth Proportional to 1,615.97, 2,215.50 and 1,586.81

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Solution

The fourth proportional to 1,615.97, 2,215.50 and 1,586.81 is: 2,175.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615.97 : 2,215.50 = 1,586.81 : x
  2. Step 2: Convert to fraction form
    1,615.97/2,215.50 = 1,586.81/x
  3. Step 3: Cross multiply
    1,615.97x = 2,215.50 × 1,586.81
  4. Step 4: Simplify right side
    1,615.97x = 3,515,566.48
  5. Step 5: Solve for x
    x = 3,515,566.48/1,615.97
  6. Step 6: Final answer
    x = 2,175.52

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.