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Finding the Fourth Proportional to 1,935.33, 2,900.16 and 1,202.68

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Solution

The fourth proportional to 1,935.33, 2,900.16 and 1,202.68 is: 1,802.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,935.33 : 2,900.16 = 1,202.68 : x
  2. Step 2: Convert to fraction form
    1,935.33/2,900.16 = 1,202.68/x
  3. Step 3: Cross multiply
    1,935.33x = 2,900.16 × 1,202.68
  4. Step 4: Simplify right side
    1,935.33x = 3,487,964.43
  5. Step 5: Solve for x
    x = 3,487,964.43/1,935.33
  6. Step 6: Final answer
    x = 1,802.26

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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.