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Finding the Fourth Proportional to 2,596.17, 3,583.40 and 1,713.27

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Solution

The fourth proportional to 2,596.17, 3,583.40 and 1,713.27 is: 2,364.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.17 : 3,583.40 = 1,713.27 : x
  2. Step 2: Convert to fraction form
    2,596.17/3,583.40 = 1,713.27/x
  3. Step 3: Cross multiply
    2,596.17x = 3,583.40 × 1,713.27
  4. Step 4: Simplify right side
    2,596.17x = 6,139,331.72
  5. Step 5: Solve for x
    x = 6,139,331.72/2,596.17
  6. Step 6: Final answer
    x = 2,364.76

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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.