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Finding the Fourth Proportional to 1,957.01, 2,935.52 and 496.16

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Solution

The fourth proportional to 1,957.01, 2,935.52 and 496.16 is: 744.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957.01 : 2,935.52 = 496.16 : x
  2. Step 2: Convert to fraction form
    1,957.01/2,935.52 = 496.16/x
  3. Step 3: Cross multiply
    1,957.01x = 2,935.52 × 496.16
  4. Step 4: Simplify right side
    1,957.01x = 1,456,470.44
  5. Step 5: Solve for x
    x = 1,456,470.44/1,957.01
  6. Step 6: Final answer
    x = 744.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.