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Finding the Fourth Proportional to 1,599.24, 2,206.24 and 935.65

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Solution

The fourth proportional to 1,599.24, 2,206.24 and 935.65 is: 1,290.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.24 : 2,206.24 = 935.65 : x
  2. Step 2: Convert to fraction form
    1,599.24/2,206.24 = 935.65/x
  3. Step 3: Cross multiply
    1,599.24x = 2,206.24 × 935.65
  4. Step 4: Simplify right side
    1,599.24x = 2,064,268.87
  5. Step 5: Solve for x
    x = 2,064,268.87/1,599.24
  6. Step 6: Final answer
    x = 1,290.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.