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Finding the Fourth Proportional to 2,143.84, 3,215.92 and 682.96

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Solution

The fourth proportional to 2,143.84, 3,215.92 and 682.96 is: 1,024.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.84 : 3,215.92 = 682.96 : x
  2. Step 2: Convert to fraction form
    2,143.84/3,215.92 = 682.96/x
  3. Step 3: Cross multiply
    2,143.84x = 3,215.92 × 682.96
  4. Step 4: Simplify right side
    2,143.84x = 2,196,344.72
  5. Step 5: Solve for x
    x = 2,196,344.72/2,143.84
  6. Step 6: Final answer
    x = 1,024.49

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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.