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Finding the Fourth Proportional to 2,527.92, 3,488.81 and 1,819.58

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Solution

The fourth proportional to 2,527.92, 3,488.81 and 1,819.58 is: 2,511.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527.92 : 3,488.81 = 1,819.58 : x
  2. Step 2: Convert to fraction form
    2,527.92/3,488.81 = 1,819.58/x
  3. Step 3: Cross multiply
    2,527.92x = 3,488.81 × 1,819.58
  4. Step 4: Simplify right side
    2,527.92x = 6,348,142.36
  5. Step 5: Solve for x
    x = 6,348,142.36/2,527.92
  6. Step 6: Final answer
    x = 2,511.21

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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.