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Finding the Fourth Proportional to 1,551.74, 2,141.04 and 961.99

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Solution

The fourth proportional to 1,551.74, 2,141.04 and 961.99 is: 1,327.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,551.74 : 2,141.04 = 961.99 : x
  2. Step 2: Convert to fraction form
    1,551.74/2,141.04 = 961.99/x
  3. Step 3: Cross multiply
    1,551.74x = 2,141.04 × 961.99
  4. Step 4: Simplify right side
    1,551.74x = 2,059,659.07
  5. Step 5: Solve for x
    x = 2,059,659.07/1,551.74
  6. Step 6: Final answer
    x = 1,327.32

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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.