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Finding the Fourth Proportional to 2,599.98, 3,896.82 and 954.60

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Solution

The fourth proportional to 2,599.98, 3,896.82 and 954.60 is: 1,430.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.98 : 3,896.82 = 954.60 : x
  2. Step 2: Convert to fraction form
    2,599.98/3,896.82 = 954.60/x
  3. Step 3: Cross multiply
    2,599.98x = 3,896.82 × 954.60
  4. Step 4: Simplify right side
    2,599.98x = 3,719,904.37
  5. Step 5: Solve for x
    x = 3,719,904.37/2,599.98
  6. Step 6: Final answer
    x = 1,430.74

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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.