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Finding the Fourth Proportional to 2,751.66, 4,127.01 and 1,364.54

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Solution

The fourth proportional to 2,751.66, 4,127.01 and 1,364.54 is: 2,046.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.66 : 4,127.01 = 1,364.54 : x
  2. Step 2: Convert to fraction form
    2,751.66/4,127.01 = 1,364.54/x
  3. Step 3: Cross multiply
    2,751.66x = 4,127.01 × 1,364.54
  4. Step 4: Simplify right side
    2,751.66x = 5,631,470.23
  5. Step 5: Solve for x
    x = 5,631,470.23/2,751.66
  6. Step 6: Final answer
    x = 2,046.57

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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.