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Finding the Fourth Proportional to 4,774.53, 7,160.97 and 1,264.56

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Solution

The fourth proportional to 4,774.53, 7,160.97 and 1,264.56 is: 1,896.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.53 : 7,160.97 = 1,264.56 : x
  2. Step 2: Convert to fraction form
    4,774.53/7,160.97 = 1,264.56/x
  3. Step 3: Cross multiply
    4,774.53x = 7,160.97 × 1,264.56
  4. Step 4: Simplify right side
    4,774.53x = 9,055,476.22
  5. Step 5: Solve for x
    x = 9,055,476.22/4,774.53
  6. Step 6: Final answer
    x = 1,896.62

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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.