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Finding the Fourth Proportional to 2,288.57, 3,432.77 and 1,055.57

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Solution

The fourth proportional to 2,288.57, 3,432.77 and 1,055.57 is: 1,583.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.57 : 3,432.77 = 1,055.57 : x
  2. Step 2: Convert to fraction form
    2,288.57/3,432.77 = 1,055.57/x
  3. Step 3: Cross multiply
    2,288.57x = 3,432.77 × 1,055.57
  4. Step 4: Simplify right side
    2,288.57x = 3,623,523.75
  5. Step 5: Solve for x
    x = 3,623,523.75/2,288.57
  6. Step 6: Final answer
    x = 1,583.31

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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.