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Finding the Fourth Proportional to 4,296.40, 6,442.59 and 1,665.17

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Solution

The fourth proportional to 4,296.40, 6,442.59 and 1,665.17 is: 2,496.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,296.40 : 6,442.59 = 1,665.17 : x
  2. Step 2: Convert to fraction form
    4,296.40/6,442.59 = 1,665.17/x
  3. Step 3: Cross multiply
    4,296.40x = 6,442.59 × 1,665.17
  4. Step 4: Simplify right side
    4,296.40x = 10,728,007.59
  5. Step 5: Solve for x
    x = 10,728,007.59/4,296.40
  6. Step 6: Final answer
    x = 2,496.98

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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.