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Finding the Fourth Proportional to 1,551.09, 2,139.98 and 961.41

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Solution

The fourth proportional to 1,551.09, 2,139.98 and 961.41 is: 1,326.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,551.09 : 2,139.98 = 961.41 : x
  2. Step 2: Convert to fraction form
    1,551.09/2,139.98 = 961.41/x
  3. Step 3: Cross multiply
    1,551.09x = 2,139.98 × 961.41
  4. Step 4: Simplify right side
    1,551.09x = 2,057,393.36
  5. Step 5: Solve for x
    x = 2,057,393.36/1,551.09
  6. Step 6: Final answer
    x = 1,326.42

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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.