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Finding the Fourth Proportional to 2,597.33, 3,584.31 and 1,478.04

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Solution

The fourth proportional to 2,597.33, 3,584.31 and 1,478.04 is: 2,039.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.33 : 3,584.31 = 1,478.04 : x
  2. Step 2: Convert to fraction form
    2,597.33/3,584.31 = 1,478.04/x
  3. Step 3: Cross multiply
    2,597.33x = 3,584.31 × 1,478.04
  4. Step 4: Simplify right side
    2,597.33x = 5,297,753.55
  5. Step 5: Solve for x
    x = 5,297,753.55/2,597.33
  6. Step 6: Final answer
    x = 2,039.70

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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.