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Finding the Fourth Proportional to 1,957.11, 2,935.67 and 496.26

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Solution

The fourth proportional to 1,957.11, 2,935.67 and 496.26 is: 744.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957.11 : 2,935.67 = 496.26 : x
  2. Step 2: Convert to fraction form
    1,957.11/2,935.67 = 496.26/x
  3. Step 3: Cross multiply
    1,957.11x = 2,935.67 × 496.26
  4. Step 4: Simplify right side
    1,957.11x = 1,456,853.11
  5. Step 5: Solve for x
    x = 1,456,853.11/1,957.11
  6. Step 6: Final answer
    x = 744.39

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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.