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Finding the Fourth Proportional to 2,288.94, 3,432.30 and 1,055.97

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Solution

The fourth proportional to 2,288.94, 3,432.30 and 1,055.97 is: 1,583.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.94 : 3,432.30 = 1,055.97 : x
  2. Step 2: Convert to fraction form
    2,288.94/3,432.30 = 1,055.97/x
  3. Step 3: Cross multiply
    2,288.94x = 3,432.30 × 1,055.97
  4. Step 4: Simplify right side
    2,288.94x = 3,624,405.83
  5. Step 5: Solve for x
    x = 3,624,405.83/2,288.94
  6. Step 6: Final answer
    x = 1,583.44

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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.