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Finding the Fourth Proportional to 2,414.34, 3,621.42 and 682.92

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Solution

The fourth proportional to 2,414.34, 3,621.42 and 682.92 is: 1,024.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414.34 : 3,621.42 = 682.92 : x
  2. Step 2: Convert to fraction form
    2,414.34/3,621.42 = 682.92/x
  3. Step 3: Cross multiply
    2,414.34x = 3,621.42 × 682.92
  4. Step 4: Simplify right side
    2,414.34x = 2,473,140.15
  5. Step 5: Solve for x
    x = 2,473,140.15/2,414.34
  6. Step 6: Final answer
    x = 1,024.35

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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.