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Finding the Fourth Proportional to 3,082.81, 4,254.02 and 1,738.34

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Solution

The fourth proportional to 3,082.81, 4,254.02 and 1,738.34 is: 2,398.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.81 : 4,254.02 = 1,738.34 : x
  2. Step 2: Convert to fraction form
    3,082.81/4,254.02 = 1,738.34/x
  3. Step 3: Cross multiply
    3,082.81x = 4,254.02 × 1,738.34
  4. Step 4: Simplify right side
    3,082.81x = 7,394,941.59
  5. Step 5: Solve for x
    x = 7,394,941.59/3,082.81
  6. Step 6: Final answer
    x = 2,398.77

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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.