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Finding the Fourth Proportional to 2,167.36, 3,252.87 and 935.70

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Solution

The fourth proportional to 2,167.36, 3,252.87 and 935.70 is: 1,404.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.36 : 3,252.87 = 935.70 : x
  2. Step 2: Convert to fraction form
    2,167.36/3,252.87 = 935.70/x
  3. Step 3: Cross multiply
    2,167.36x = 3,252.87 × 935.70
  4. Step 4: Simplify right side
    2,167.36x = 3,043,710.46
  5. Step 5: Solve for x
    x = 3,043,710.46/2,167.36
  6. Step 6: Final answer
    x = 1,404.34

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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.