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Finding the Fourth Proportional to 2,582.74, 3,874.08 and 634.96

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Solution

The fourth proportional to 2,582.74, 3,874.08 and 634.96 is: 952.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.74 : 3,874.08 = 634.96 : x
  2. Step 2: Convert to fraction form
    2,582.74/3,874.08 = 634.96/x
  3. Step 3: Cross multiply
    2,582.74x = 3,874.08 × 634.96
  4. Step 4: Simplify right side
    2,582.74x = 2,459,885.84
  5. Step 5: Solve for x
    x = 2,459,885.84/2,582.74
  6. Step 6: Final answer
    x = 952.43

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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.