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Finding the Fourth Proportional to 1,653.97, 2,282.33 and 907.92

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Solution

The fourth proportional to 1,653.97, 2,282.33 and 907.92 is: 1,252.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.97 : 2,282.33 = 907.92 : x
  2. Step 2: Convert to fraction form
    1,653.97/2,282.33 = 907.92/x
  3. Step 3: Cross multiply
    1,653.97x = 2,282.33 × 907.92
  4. Step 4: Simplify right side
    1,653.97x = 2,072,183.88
  5. Step 5: Solve for x
    x = 2,072,183.88/1,653.97
  6. Step 6: Final answer
    x = 1,252.86

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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.