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Finding the Fourth Proportional to 2,082.51, 3,122.73 and 621.27

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Solution

The fourth proportional to 2,082.51, 3,122.73 and 621.27 is: 931.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.51 : 3,122.73 = 621.27 : x
  2. Step 2: Convert to fraction form
    2,082.51/3,122.73 = 621.27/x
  3. Step 3: Cross multiply
    2,082.51x = 3,122.73 × 621.27
  4. Step 4: Simplify right side
    2,082.51x = 1,940,058.47
  5. Step 5: Solve for x
    x = 1,940,058.47/2,082.51
  6. Step 6: Final answer
    x = 931.60

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1.5x scale

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.