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Finding the Fourth Proportional to 2,757.46, 3,804.54 and 1,917.22

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Solution

The fourth proportional to 2,757.46, 3,804.54 and 1,917.22 is: 2,645.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.46 : 3,804.54 = 1,917.22 : x
  2. Step 2: Convert to fraction form
    2,757.46/3,804.54 = 1,917.22/x
  3. Step 3: Cross multiply
    2,757.46x = 3,804.54 × 1,917.22
  4. Step 4: Simplify right side
    2,757.46x = 7,294,140.18
  5. Step 5: Solve for x
    x = 7,294,140.18/2,757.46
  6. Step 6: Final answer
    x = 2,645.24

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1.5x scale

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.