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Finding the Fourth Proportional to 2,596.73, 3,583.56 and 1,417.82

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Solution

The fourth proportional to 2,596.73, 3,583.56 and 1,417.82 is: 1,956.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.73 : 3,583.56 = 1,417.82 : x
  2. Step 2: Convert to fraction form
    2,596.73/3,583.56 = 1,417.82/x
  3. Step 3: Cross multiply
    2,596.73x = 3,583.56 × 1,417.82
  4. Step 4: Simplify right side
    2,596.73x = 5,080,843.04
  5. Step 5: Solve for x
    x = 5,080,843.04/2,596.73
  6. Step 6: Final answer
    x = 1,956.63

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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.