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Finding the Fourth Proportional to 2,594.45, 3,866.51 and 2,511.43

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Solution

The fourth proportional to 2,594.45, 3,866.51 and 2,511.43 is: 3,742.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.45 : 3,866.51 = 2,511.43 : x
  2. Step 2: Convert to fraction form
    2,594.45/3,866.51 = 2,511.43/x
  3. Step 3: Cross multiply
    2,594.45x = 3,866.51 × 2,511.43
  4. Step 4: Simplify right side
    2,594.45x = 9,710,469.21
  5. Step 5: Solve for x
    x = 9,710,469.21/2,594.45
  6. Step 6: Final answer
    x = 3,742.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.