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Finding the Fourth Proportional to 1,957.41, 2,935.94 and 496.58

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Solution

The fourth proportional to 1,957.41, 2,935.94 and 496.58 is: 744.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957.41 : 2,935.94 = 496.58 : x
  2. Step 2: Convert to fraction form
    1,957.41/2,935.94 = 496.58/x
  3. Step 3: Cross multiply
    1,957.41x = 2,935.94 × 496.58
  4. Step 4: Simplify right side
    1,957.41x = 1,457,911.92
  5. Step 5: Solve for x
    x = 1,457,911.92/1,957.41
  6. Step 6: Final answer
    x = 744.82

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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.