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Finding the Fourth Proportional to 1,571.61, 2,358.09 and 840.33

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Solution

The fourth proportional to 1,571.61, 2,358.09 and 840.33 is: 1,260.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.61 : 2,358.09 = 840.33 : x
  2. Step 2: Convert to fraction form
    1,571.61/2,358.09 = 840.33/x
  3. Step 3: Cross multiply
    1,571.61x = 2,358.09 × 840.33
  4. Step 4: Simplify right side
    1,571.61x = 1,981,573.77
  5. Step 5: Solve for x
    x = 1,981,573.77/1,571.61
  6. Step 6: Final answer
    x = 1,260.86

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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.