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Finding the Fourth Proportional to 2,927.46, 4,391.08 and 736.16

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Solution

The fourth proportional to 2,927.46, 4,391.08 and 736.16 is: 1,104.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,927.46 : 4,391.08 = 736.16 : x
  2. Step 2: Convert to fraction form
    2,927.46/4,391.08 = 736.16/x
  3. Step 3: Cross multiply
    2,927.46x = 4,391.08 × 736.16
  4. Step 4: Simplify right side
    2,927.46x = 3,232,537.45
  5. Step 5: Solve for x
    x = 3,232,537.45/2,927.46
  6. Step 6: Final answer
    x = 1,104.21

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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.