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Finding the Fourth Proportional to 2,594.34, 3,889.32 and 1,206.96

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Solution

The fourth proportional to 2,594.34, 3,889.32 and 1,206.96 is: 1,809.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.34 : 3,889.32 = 1,206.96 : x
  2. Step 2: Convert to fraction form
    2,594.34/3,889.32 = 1,206.96/x
  3. Step 3: Cross multiply
    2,594.34x = 3,889.32 × 1,206.96
  4. Step 4: Simplify right side
    2,594.34x = 4,694,253.67
  5. Step 5: Solve for x
    x = 4,694,253.67/2,594.34
  6. Step 6: Final answer
    x = 1,809.42

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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.