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Finding the Fourth Proportional to 2,522.76, 3,478.80 and 1,727.24

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Solution

The fourth proportional to 2,522.76, 3,478.80 and 1,727.24 is: 2,381.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,522.76 : 3,478.80 = 1,727.24 : x
  2. Step 2: Convert to fraction form
    2,522.76/3,478.80 = 1,727.24/x
  3. Step 3: Cross multiply
    2,522.76x = 3,478.80 × 1,727.24
  4. Step 4: Simplify right side
    2,522.76x = 6,008,721.45
  5. Step 5: Solve for x
    x = 6,008,721.45/2,522.76
  6. Step 6: Final answer
    x = 2,381.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.