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Finding the Fourth Proportional to 2,582.72, 3,874.08 and 634.94

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Solution

The fourth proportional to 2,582.72, 3,874.08 and 634.94 is: 952.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.72 : 3,874.08 = 634.94 : x
  2. Step 2: Convert to fraction form
    2,582.72/3,874.08 = 634.94/x
  3. Step 3: Cross multiply
    2,582.72x = 3,874.08 × 634.94
  4. Step 4: Simplify right side
    2,582.72x = 2,459,808.36
  5. Step 5: Solve for x
    x = 2,459,808.36/2,582.72
  6. Step 6: Final answer
    x = 952.41

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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.