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Finding the Fourth Proportional to 2,597.46, 3,893.87 and 953.62

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Solution

The fourth proportional to 2,597.46, 3,893.87 and 953.62 is: 1,429.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.46 : 3,893.87 = 953.62 : x
  2. Step 2: Convert to fraction form
    2,597.46/3,893.87 = 953.62/x
  3. Step 3: Cross multiply
    2,597.46x = 3,893.87 × 953.62
  4. Step 4: Simplify right side
    2,597.46x = 3,713,272.31
  5. Step 5: Solve for x
    x = 3,713,272.31/2,597.46
  6. Step 6: Final answer
    x = 1,429.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.