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Finding the Fourth Proportional to 1,957.12, 2,935.73 and 496.39

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Solution

The fourth proportional to 1,957.12, 2,935.73 and 496.39 is: 744.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957.12 : 2,935.73 = 496.39 : x
  2. Step 2: Convert to fraction form
    1,957.12/2,935.73 = 496.39/x
  3. Step 3: Cross multiply
    1,957.12x = 2,935.73 × 496.39
  4. Step 4: Simplify right side
    1,957.12x = 1,457,260.92
  5. Step 5: Solve for x
    x = 1,457,260.92/1,957.12
  6. Step 6: Final answer
    x = 744.59

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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.