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Finding the Fourth Proportional to 2,549.53, 3,824.21 and 700.75

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Solution

The fourth proportional to 2,549.53, 3,824.21 and 700.75 is: 1,051.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.53 : 3,824.21 = 700.75 : x
  2. Step 2: Convert to fraction form
    2,549.53/3,824.21 = 700.75/x
  3. Step 3: Cross multiply
    2,549.53x = 3,824.21 × 700.75
  4. Step 4: Simplify right side
    2,549.53x = 2,679,821.69
  5. Step 5: Solve for x
    x = 2,679,821.69/2,549.53
  6. Step 6: Final answer
    x = 1,051.11

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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.