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Finding the Fourth Proportional to 2,551.36, 3,520.80 and 1,432.30

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Solution

The fourth proportional to 2,551.36, 3,520.80 and 1,432.30 is: 1,976.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,551.36 : 3,520.80 = 1,432.30 : x
  2. Step 2: Convert to fraction form
    2,551.36/3,520.80 = 1,432.30/x
  3. Step 3: Cross multiply
    2,551.36x = 3,520.80 × 1,432.30
  4. Step 4: Simplify right side
    2,551.36x = 5,042,841.84
  5. Step 5: Solve for x
    x = 5,042,841.84/2,551.36
  6. Step 6: Final answer
    x = 1,976.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.