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Finding the Fourth Proportional to 2,597.53, 3,897.99 and 954.09

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Solution

The fourth proportional to 2,597.53, 3,897.99 and 954.09 is: 1,431.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.53 : 3,897.99 = 954.09 : x
  2. Step 2: Convert to fraction form
    2,597.53/3,897.99 = 954.09/x
  3. Step 3: Cross multiply
    2,597.53x = 3,897.99 × 954.09
  4. Step 4: Simplify right side
    2,597.53x = 3,719,016.17
  5. Step 5: Solve for x
    x = 3,719,016.17/2,597.53
  6. Step 6: Final answer
    x = 1,431.75

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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.