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Finding the Fourth Proportional to 2,957.69, 4,436.41 and 736.53

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Solution

The fourth proportional to 2,957.69, 4,436.41 and 736.53 is: 1,104.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957.69 : 4,436.41 = 736.53 : x
  2. Step 2: Convert to fraction form
    2,957.69/4,436.41 = 736.53/x
  3. Step 3: Cross multiply
    2,957.69x = 4,436.41 × 736.53
  4. Step 4: Simplify right side
    2,957.69x = 3,267,549.06
  5. Step 5: Solve for x
    x = 3,267,549.06/2,957.69
  6. Step 6: Final answer
    x = 1,104.76

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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.