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Finding the Fourth Proportional to 1,426.92, 2,141.70 and 880.17

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Solution

The fourth proportional to 1,426.92, 2,141.70 and 880.17 is: 1,321.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.92 : 2,141.70 = 880.17 : x
  2. Step 2: Convert to fraction form
    1,426.92/2,141.70 = 880.17/x
  3. Step 3: Cross multiply
    1,426.92x = 2,141.70 × 880.17
  4. Step 4: Simplify right side
    1,426.92x = 1,885,060.09
  5. Step 5: Solve for x
    x = 1,885,060.09/1,426.92
  6. Step 6: Final answer
    x = 1,321.07

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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.