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Finding the Fourth Proportional to 2,741.68, 3,783.54 and 1,622.68

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Solution

The fourth proportional to 2,741.68, 3,783.54 and 1,622.68 is: 2,239.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.68 : 3,783.54 = 1,622.68 : x
  2. Step 2: Convert to fraction form
    2,741.68/3,783.54 = 1,622.68/x
  3. Step 3: Cross multiply
    2,741.68x = 3,783.54 × 1,622.68
  4. Step 4: Simplify right side
    2,741.68x = 6,139,474.69
  5. Step 5: Solve for x
    x = 6,139,474.69/2,741.68
  6. Step 6: Final answer
    x = 2,239.31

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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.