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Finding the Fourth Proportional to 3,263.58, 4,892.00 and 1,288.44

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Solution

The fourth proportional to 3,263.58, 4,892.00 and 1,288.44 is: 1,931.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,263.58 : 4,892.00 = 1,288.44 : x
  2. Step 2: Convert to fraction form
    3,263.58/4,892.00 = 1,288.44/x
  3. Step 3: Cross multiply
    3,263.58x = 4,892.00 × 1,288.44
  4. Step 4: Simplify right side
    3,263.58x = 6,303,042.04
  5. Step 5: Solve for x
    x = 6,303,042.04/3,263.58
  6. Step 6: Final answer
    x = 1,931.33

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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.