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Finding the Fourth Proportional to 2,684.38, 3,703.57 and 1,505.22

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Solution

The fourth proportional to 2,684.38, 3,703.57 and 1,505.22 is: 2,076.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.38 : 3,703.57 = 1,505.22 : x
  2. Step 2: Convert to fraction form
    2,684.38/3,703.57 = 1,505.22/x
  3. Step 3: Cross multiply
    2,684.38x = 3,703.57 × 1,505.22
  4. Step 4: Simplify right side
    2,684.38x = 5,574,683.87
  5. Step 5: Solve for x
    x = 5,574,683.87/2,684.38
  6. Step 6: Final answer
    x = 2,076.71

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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.