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Finding the Fourth Proportional to 2,128.77, 2,936.50 and 1,277.81

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Solution

The fourth proportional to 2,128.77, 2,936.50 and 1,277.81 is: 1,762.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.77 : 2,936.50 = 1,277.81 : x
  2. Step 2: Convert to fraction form
    2,128.77/2,936.50 = 1,277.81/x
  3. Step 3: Cross multiply
    2,128.77x = 2,936.50 × 1,277.81
  4. Step 4: Simplify right side
    2,128.77x = 3,752,274.38
  5. Step 5: Solve for x
    x = 3,752,274.38/2,128.77
  6. Step 6: Final answer
    x = 1,762.65

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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.