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Finding the Fourth Proportional to 1,566.41, 2,162.07 and 937.37

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Solution

The fourth proportional to 1,566.41, 2,162.07 and 937.37 is: 1,293.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.41 : 2,162.07 = 937.37 : x
  2. Step 2: Convert to fraction form
    1,566.41/2,162.07 = 937.37/x
  3. Step 3: Cross multiply
    1,566.41x = 2,162.07 × 937.37
  4. Step 4: Simplify right side
    1,566.41x = 2,026,648.75
  5. Step 5: Solve for x
    x = 2,026,648.75/1,566.41
  6. Step 6: Final answer
    x = 1,293.82

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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.