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Finding the Fourth Proportional to 2,594.48, 3,892.70 and 1,555.22

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Solution

The fourth proportional to 2,594.48, 3,892.70 and 1,555.22 is: 2,333.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.48 : 3,892.70 = 1,555.22 : x
  2. Step 2: Convert to fraction form
    2,594.48/3,892.70 = 1,555.22/x
  3. Step 3: Cross multiply
    2,594.48x = 3,892.70 × 1,555.22
  4. Step 4: Simplify right side
    2,594.48x = 6,054,012.68
  5. Step 5: Solve for x
    x = 6,054,012.68/2,594.48
  6. Step 6: Final answer
    x = 2,333.42

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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.