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Finding the Fourth Proportional to 2,707.44, 4,061.16 and 1,839.60

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Solution

The fourth proportional to 2,707.44, 4,061.16 and 1,839.60 is: 2,759.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.44 : 4,061.16 = 1,839.60 : x
  2. Step 2: Convert to fraction form
    2,707.44/4,061.16 = 1,839.60/x
  3. Step 3: Cross multiply
    2,707.44x = 4,061.16 × 1,839.60
  4. Step 4: Simplify right side
    2,707.44x = 7,470,909.94
  5. Step 5: Solve for x
    x = 7,470,909.94/2,707.44
  6. Step 6: Final answer
    x = 2,759.40

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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.