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Finding the Fourth Proportional to 1,971.86, 2,957.79 and 737.82

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Solution

The fourth proportional to 1,971.86, 2,957.79 and 737.82 is: 1,106.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.86 : 2,957.79 = 737.82 : x
  2. Step 2: Convert to fraction form
    1,971.86/2,957.79 = 737.82/x
  3. Step 3: Cross multiply
    1,971.86x = 2,957.79 × 737.82
  4. Step 4: Simplify right side
    1,971.86x = 2,182,316.62
  5. Step 5: Solve for x
    x = 2,182,316.62/1,971.86
  6. Step 6: Final answer
    x = 1,106.73

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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.