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Finding the Fourth Proportional to 2,496.02, 3,742.67 and 764.42

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Solution

The fourth proportional to 2,496.02, 3,742.67 and 764.42 is: 1,146.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,496.02 : 3,742.67 = 764.42 : x
  2. Step 2: Convert to fraction form
    2,496.02/3,742.67 = 764.42/x
  3. Step 3: Cross multiply
    2,496.02x = 3,742.67 × 764.42
  4. Step 4: Simplify right side
    2,496.02x = 2,860,955.00
  5. Step 5: Solve for x
    x = 2,860,955.00/2,496.02
  6. Step 6: Final answer
    x = 1,146.21

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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.