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Finding the Fourth Proportional to 2,597.37, 3,583.63 and 1,478.27

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Solution

The fourth proportional to 2,597.37, 3,583.63 and 1,478.27 is: 2,039.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.37 : 3,583.63 = 1,478.27 : x
  2. Step 2: Convert to fraction form
    2,597.37/3,583.63 = 1,478.27/x
  3. Step 3: Cross multiply
    2,597.37x = 3,583.63 × 1,478.27
  4. Step 4: Simplify right side
    2,597.37x = 5,297,583.53
  5. Step 5: Solve for x
    x = 5,297,583.53/2,597.37
  6. Step 6: Final answer
    x = 2,039.60

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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.