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Finding the Fourth Proportional to 2,596.57, 3,583.25 and 1,417.64

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Solution

The fourth proportional to 2,596.57, 3,583.25 and 1,417.64 is: 1,956.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.57 : 3,583.25 = 1,417.64 : x
  2. Step 2: Convert to fraction form
    2,596.57/3,583.25 = 1,417.64/x
  3. Step 3: Cross multiply
    2,596.57x = 3,583.25 × 1,417.64
  4. Step 4: Simplify right side
    2,596.57x = 5,079,758.53
  5. Step 5: Solve for x
    x = 5,079,758.53/2,596.57
  6. Step 6: Final answer
    x = 1,956.33

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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.