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Finding the Fourth Proportional to 2,598.52, 3,896.52 and 954.64

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Solution

The fourth proportional to 2,598.52, 3,896.52 and 954.64 is: 1,431.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.52 : 3,896.52 = 954.64 : x
  2. Step 2: Convert to fraction form
    2,598.52/3,896.52 = 954.64/x
  3. Step 3: Cross multiply
    2,598.52x = 3,896.52 × 954.64
  4. Step 4: Simplify right side
    2,598.52x = 3,719,773.85
  5. Step 5: Solve for x
    x = 3,719,773.85/2,598.52
  6. Step 6: Final answer
    x = 1,431.50

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Why These Related Problems?

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