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Finding the Fourth Proportional to 3,054.81, 4,212.79 and 1,933.86

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Solution

The fourth proportional to 3,054.81, 4,212.79 and 1,933.86 is: 2,666.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,054.81 : 4,212.79 = 1,933.86 : x
  2. Step 2: Convert to fraction form
    3,054.81/4,212.79 = 1,933.86/x
  3. Step 3: Cross multiply
    3,054.81x = 4,212.79 × 1,933.86
  4. Step 4: Simplify right side
    3,054.81x = 8,146,946.07
  5. Step 5: Solve for x
    x = 8,146,946.07/3,054.81
  6. Step 6: Final answer
    x = 2,666.92

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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.