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Finding the Fourth Proportional to 2,774.96, 4,163.67 and 1,476.53

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Solution

The fourth proportional to 2,774.96, 4,163.67 and 1,476.53 is: 2,215.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.96 : 4,163.67 = 1,476.53 : x
  2. Step 2: Convert to fraction form
    2,774.96/4,163.67 = 1,476.53/x
  3. Step 3: Cross multiply
    2,774.96x = 4,163.67 × 1,476.53
  4. Step 4: Simplify right side
    2,774.96x = 6,147,783.67
  5. Step 5: Solve for x
    x = 6,147,783.67/2,774.96
  6. Step 6: Final answer
    x = 2,215.45

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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.