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Finding the Fourth Proportional to 2,597.24, 3,894.93 and 953.42

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Solution

The fourth proportional to 2,597.24, 3,894.93 and 953.42 is: 1,429.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.24 : 3,894.93 = 953.42 : x
  2. Step 2: Convert to fraction form
    2,597.24/3,894.93 = 953.42/x
  3. Step 3: Cross multiply
    2,597.24x = 3,894.93 × 953.42
  4. Step 4: Simplify right side
    2,597.24x = 3,713,504.16
  5. Step 5: Solve for x
    x = 3,713,504.16/2,597.24
  6. Step 6: Final answer
    x = 1,429.79

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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.