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Finding the Fourth Proportional to 2,539.54, 3,809.70 and 808

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Solution

The fourth proportional to 2,539.54, 3,809.70 and 808 is: 1,212.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,539.54 : 3,809.70 = 808 : x
  2. Step 2: Convert to fraction form
    2,539.54/3,809.70 = 808/x
  3. Step 3: Cross multiply
    2,539.54x = 3,809.70 × 808
  4. Step 4: Simplify right side
    2,539.54x = 3,078,237.60
  5. Step 5: Solve for x
    x = 3,078,237.60/2,539.54
  6. Step 6: Final answer
    x = 1,212.12

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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.