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Finding the Fourth Proportional to 2,288.45, 3,432.71 and 1,055.52

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Solution

The fourth proportional to 2,288.45, 3,432.71 and 1,055.52 is: 1,583.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.45 : 3,432.71 = 1,055.52 : x
  2. Step 2: Convert to fraction form
    2,288.45/3,432.71 = 1,055.52/x
  3. Step 3: Cross multiply
    2,288.45x = 3,432.71 × 1,055.52
  4. Step 4: Simplify right side
    2,288.45x = 3,623,296.70
  5. Step 5: Solve for x
    x = 3,623,296.70/2,288.45
  6. Step 6: Final answer
    x = 1,583.30

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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.