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Finding the Fourth Proportional to 2,511.60, 3,466.00 and 1,392.54

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Solution

The fourth proportional to 2,511.60, 3,466.00 and 1,392.54 is: 1,921.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,511.60 : 3,466.00 = 1,392.54 : x
  2. Step 2: Convert to fraction form
    2,511.60/3,466.00 = 1,392.54/x
  3. Step 3: Cross multiply
    2,511.60x = 3,466.00 × 1,392.54
  4. Step 4: Simplify right side
    2,511.60x = 4,826,536.68
  5. Step 5: Solve for x
    x = 4,826,536.68/2,511.60
  6. Step 6: Final answer
    x = 1,921.70

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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.