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Finding the Fourth Proportional to 2,597.90, 3,896.84 and 953.73

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Solution

The fourth proportional to 2,597.90, 3,896.84 and 953.73 is: 1,430.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.90 : 3,896.84 = 953.73 : x
  2. Step 2: Convert to fraction form
    2,597.90/3,896.84 = 953.73/x
  3. Step 3: Cross multiply
    2,597.90x = 3,896.84 × 953.73
  4. Step 4: Simplify right side
    2,597.90x = 3,716,535.60
  5. Step 5: Solve for x
    x = 3,716,535.60/2,597.90
  6. Step 6: Final answer
    x = 1,430.60

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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.